Finding the Third Proportional to 214,807.50 and 466,524
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Solution
The third proportional to 214,807.50 and 466,524 is: 1,013,207.84
Step by Step Solution
- Step 1: Write the proportion equation
214,807.50 : 466,524 = 466,524 : x - Step 2: Convert to fraction form
214,807.50/466,524 = 466,524/x - Step 3: Cross multiply
214,807.50x = 466,524 × 466,524 - Step 4: Simplify right side
214,807.50x = 217,644,642,576 - Step 5: Solve for x
x = 217,644,642,576/214,807.50 - Step 6: Final answer
x = 1,013,207.84
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.