Converter Isolated

Why would a differential signal need a return or ground?
If a differential signal transmits two complementary signals (equal and opposite) then why do you need to run a return wire? Wouldn’t the signals cancel each other out completely on the receiving end?
I ask because I’m converting RS-232 to RS-422 and I understand why I need a return/ground on the 232 side before the converter, but why do I have to continue that once the signal is + and – on the 422 side?
Note that the system I’m describing is isolated from any chassis or earth ground.
because it is not perfect
the common mode voltage may go out of the permissible range
http://www.ibrtses.com/products/RS232toRS422Converter.png
if the input were a transformer you would not need the return
Anita
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