
When you ask "What number is halfway between 77 and 522?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=77 and Y=522.

To find the number halfway between 77 and 522, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 77 and 522 into our formula, we get:
(77 + 522)/2 = 299.5
Thus, the number halfway between 77 and 522 is 299.5.
To check that our answer is correct, we subtract 77 from 299.5 and subtract 299.5 from 522 and compare the two numbers:
299.5 - 77 = 222.5
522 - 299.5 = 222.5
As you can see, the halfway number is 222.5 higher than 77 and 222.5 lower than 522. Therefore, our halfway between answer of 299.5 above is correct.
Halfway Between
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Halfway Between 77 and 523
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