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Finding the Third Proportional to 417,233 and 627,794

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Solution

The third proportional to 417,233 and 627,794 is: 944,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,233 : 627,794 = 627,794 : x
  2. Step 2: Convert to fraction form
    417,233/627,794 = 627,794/x
  3. Step 3: Cross multiply
    417,233x = 627,794 × 627,794
  4. Step 4: Simplify right side
    417,233x = 394,125,306,436
  5. Step 5: Solve for x
    x = 394,125,306,436/417,233
  6. Step 6: Final answer
    x = 944,616.81

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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.