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Finding the Third Proportional to 361,884.38 and 532,294.88

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Solution

The third proportional to 361,884.38 and 532,294.88 is: 782,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,884.38 : 532,294.88 = 532,294.88 : x
  2. Step 2: Convert to fraction form
    361,884.38/532,294.88 = 532,294.88/x
  3. Step 3: Cross multiply
    361,884.38x = 532,294.88 × 532,294.88
  4. Step 4: Simplify right side
    361,884.38x = 283,337,833,951.27
  5. Step 5: Solve for x
    x = 283,337,833,951.27/361,884.38
  6. Step 6: Final answer
    x = 782,951.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.