Finding the Third Proportional to 229,414.50 and 539,757
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Solution
The third proportional to 229,414.50 and 539,757 is: 1,269,918.07
Step by Step Solution
- Step 1: Write the proportion equation
229,414.50 : 539,757 = 539,757 : x - Step 2: Convert to fraction form
229,414.50/539,757 = 539,757/x - Step 3: Cross multiply
229,414.50x = 539,757 × 539,757 - Step 4: Simplify right side
229,414.50x = 291,337,619,049 - Step 5: Solve for x
x = 291,337,619,049/229,414.50 - Step 6: Final answer
x = 1,269,918.07
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.