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Finding the Third Proportional to 217,355 and 466,845

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Solution

The third proportional to 217,355 and 466,845 is: 1,002,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,355 : 466,845 = 466,845 : x
  2. Step 2: Convert to fraction form
    217,355/466,845 = 466,845/x
  3. Step 3: Cross multiply
    217,355x = 466,845 × 466,845
  4. Step 4: Simplify right side
    217,355x = 217,944,254,025
  5. Step 5: Solve for x
    x = 217,944,254,025/217,355
  6. Step 6: Final answer
    x = 1,002,711.02

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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.