To solve the expression \( 600.601 - 5.036 \times (38.772 - 32.731) - 75.248 \), let's follow the order of operations:
Calculate the parentheses: \[ 38.772 - 32.731 = 6.041 \]
Multiply by \( 5.036 \): \[ 5.036 \times 6.041 \approx 30.406476 \]
Now substitute back into the expression: \[ 600.601 - 30.406476 - 75.248 \]
Perform the subtraction:
First, subtract \( 30.406476 \) from \( 600.601 \): \[ 600.601 - 30.406476 \approx 570.194524 \]
Next, subtract \( 75.248 \): \[ 570.194524 - 75.248 \approx 494.946524 \]
Thus, the final result is approximately: \[ \boxed{494.946524} \]