Both Uses of

correspond
in
1984, by Orwell

The Ministry of Truth contained, it was said, three thousand rooms above ground level, and corresponding ramifications below.
p. 4.3 *

corresponding = fitting or proportional

In the corresponding cubicle on the other side a small, precise-looking, dark— chinned man named Tillotson was working steadily away, with a folded newspaper on his knee and his mouth very close to the mouthpiece of the speakwrite.
p. 41.6

corresponding = matching or equivalent

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise