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Finding the Third Proportional to 217,019 and 467,329

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Solution

The third proportional to 217,019 and 467,329 is: 1,006,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,019 : 467,329 = 467,329 : x
  2. Step 2: Convert to fraction form
    217,019/467,329 = 467,329/x
  3. Step 3: Cross multiply
    217,019x = 467,329 × 467,329
  4. Step 4: Simplify right side
    217,019x = 218,396,394,241
  5. Step 5: Solve for x
    x = 218,396,394,241/217,019
  6. Step 6: Final answer
    x = 1,006,346.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.