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Finding the Third Proportional to 363,042 and 532,899

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Solution

The third proportional to 363,042 and 532,899 is: 782,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,042 : 532,899 = 532,899 : x
  2. Step 2: Convert to fraction form
    363,042/532,899 = 532,899/x
  3. Step 3: Cross multiply
    363,042x = 532,899 × 532,899
  4. Step 4: Simplify right side
    363,042x = 283,981,344,201
  5. Step 5: Solve for x
    x = 283,981,344,201/363,042
  6. Step 6: Final answer
    x = 782,227.25

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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.