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Finding the Third Proportional to 363,044 and 532,902

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Solution

The third proportional to 363,044 and 532,902 is: 782,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,044 : 532,902 = 532,902 : x
  2. Step 2: Convert to fraction form
    363,044/532,902 = 532,902/x
  3. Step 3: Cross multiply
    363,044x = 532,902 × 532,902
  4. Step 4: Simplify right side
    363,044x = 283,984,541,604
  5. Step 5: Solve for x
    x = 283,984,541,604/363,044
  6. Step 6: Final answer
    x = 782,231.74

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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.