Finding the Third Proportional to 409,515.75 and 597,597.75
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Solution
The third proportional to 409,515.75 and 597,597.75 is: 872,061.87
Step by Step Solution
- Step 1: Write the proportion equation
409,515.75 : 597,597.75 = 597,597.75 : x - Step 2: Convert to fraction form
409,515.75/597,597.75 = 597,597.75/x - Step 3: Cross multiply
409,515.75x = 597,597.75 × 597,597.75 - Step 4: Simplify right side
409,515.75x = 357,123,070,805.06 - Step 5: Solve for x
x = 357,123,070,805.06/409,515.75 - Step 6: Final answer
x = 872,061.87
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.