Finding the Third Proportional to 386,304 and 596,952
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Solution
The third proportional to 386,304 and 596,952 is: 922,464.41
Step by Step Solution
- Step 1: Write the proportion equation
386,304 : 596,952 = 596,952 : x - Step 2: Convert to fraction form
386,304/596,952 = 596,952/x - Step 3: Cross multiply
386,304x = 596,952 × 596,952 - Step 4: Simplify right side
386,304x = 356,351,690,304 - Step 5: Solve for x
x = 356,351,690,304/386,304 - Step 6: Final answer
x = 922,464.41
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.