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Finding the Third Proportional to 411,793.88 and 625,618.69

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Solution

The third proportional to 411,793.88 and 625,618.69 is: 950,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,793.88 : 625,618.69 = 625,618.69 : x
  2. Step 2: Convert to fraction form
    411,793.88/625,618.69 = 625,618.69/x
  3. Step 3: Cross multiply
    411,793.88x = 625,618.69 × 625,618.69
  4. Step 4: Simplify right side
    411,793.88x = 391,398,742,149.22
  5. Step 5: Solve for x
    x = 391,398,742,149.22/411,793.88
  6. Step 6: Final answer
    x = 950,472.47

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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.