
When you ask "What number is halfway between 45 and 409?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=45 and Y=409.

To find the number halfway between 45 and 409, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 45 and 409 into our formula, we get:
(45 + 409)/2 = 227
Thus, the number halfway between 45 and 409 is 227.
To check that our answer is correct, we subtract 45 from 227 and subtract 227 from 409 and compare the two numbers:
227 - 45 = 182
409 - 227 = 182
As you can see, the halfway number is 182 higher than 45 and 182 lower than 409. Therefore, our halfway between answer of 227 above is correct.
Halfway Between
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Halfway Between 45 and 410
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