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Finding the Third Proportional to 217,351.13 and 472,126.50

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Solution

The third proportional to 217,351.13 and 472,126.50 is: 1,025,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,351.13 : 472,126.50 = 472,126.50 : x
  2. Step 2: Convert to fraction form
    217,351.13/472,126.50 = 472,126.50/x
  3. Step 3: Cross multiply
    217,351.13x = 472,126.50 × 472,126.50
  4. Step 4: Simplify right side
    217,351.13x = 222,903,432,002.25
  5. Step 5: Solve for x
    x = 222,903,432,002.25/217,351.13
  6. Step 6: Final answer
    x = 1,025,545.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.