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Finding the Third Proportional to 331,959 and 502,951.50

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Solution

The third proportional to 331,959 and 502,951.50 is: 762,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,959 : 502,951.50 = 502,951.50 : x
  2. Step 2: Convert to fraction form
    331,959/502,951.50 = 502,951.50/x
  3. Step 3: Cross multiply
    331,959x = 502,951.50 × 502,951.50
  4. Step 4: Simplify right side
    331,959x = 252,960,211,352.25
  5. Step 5: Solve for x
    x = 252,960,211,352.25/331,959
  6. Step 6: Final answer
    x = 762,022.45

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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.