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Finding the Third Proportional to 217,365 and 466,866

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Solution

The third proportional to 217,365 and 466,866 is: 1,002,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,365 : 466,866 = 466,866 : x
  2. Step 2: Convert to fraction form
    217,365/466,866 = 466,866/x
  3. Step 3: Cross multiply
    217,365x = 466,866 × 466,866
  4. Step 4: Simplify right side
    217,365x = 217,963,861,956
  5. Step 5: Solve for x
    x = 217,963,861,956/217,365
  6. Step 6: Final answer
    x = 1,002,755.10

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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.