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Finding the Third Proportional to 217,034.92 and 322,404.23

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Solution

The third proportional to 217,034.92 and 322,404.23 is: 478,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,034.92 : 322,404.23 = 322,404.23 : x
  2. Step 2: Convert to fraction form
    217,034.92/322,404.23 = 322,404.23/x
  3. Step 3: Cross multiply
    217,034.92x = 322,404.23 × 322,404.23
  4. Step 4: Simplify right side
    217,034.92x = 103,944,488,985.14
  5. Step 5: Solve for x
    x = 103,944,488,985.14/217,034.92
  6. Step 6: Final answer
    x = 478,929.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.