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Finding the Third Proportional to 331,966.50 and 502,959

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Solution

The third proportional to 331,966.50 and 502,959 is: 762,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,966.50 : 502,959 = 502,959 : x
  2. Step 2: Convert to fraction form
    331,966.50/502,959 = 502,959/x
  3. Step 3: Cross multiply
    331,966.50x = 502,959 × 502,959
  4. Step 4: Simplify right side
    331,966.50x = 252,967,755,681
  5. Step 5: Solve for x
    x = 252,967,755,681/331,966.50
  6. Step 6: Final answer
    x = 762,027.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.