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Finding the Third Proportional to 417,241.13 and 627,805.69

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Solution

The third proportional to 417,241.13 and 627,805.69 is: 944,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,241.13 : 627,805.69 = 627,805.69 : x
  2. Step 2: Convert to fraction form
    417,241.13/627,805.69 = 627,805.69/x
  3. Step 3: Cross multiply
    417,241.13x = 627,805.69 × 627,805.69
  4. Step 4: Simplify right side
    417,241.13x = 394,139,981,257.35
  5. Step 5: Solve for x
    x = 394,139,981,257.35/417,241.13
  6. Step 6: Final answer
    x = 944,633.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.