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Finding the Third Proportional to 217,805.84 and 467,132.38

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Solution

The third proportional to 217,805.84 and 467,132.38 is: 1,001,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,805.84 : 467,132.38 = 467,132.38 : x
  2. Step 2: Convert to fraction form
    217,805.84/467,132.38 = 467,132.38/x
  3. Step 3: Cross multiply
    217,805.84x = 467,132.38 × 467,132.38
  4. Step 4: Simplify right side
    217,805.84x = 218,212,659,422.61
  5. Step 5: Solve for x
    x = 218,212,659,422.61/217,805.84
  6. Step 6: Final answer
    x = 1,001,867.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.