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Finding the Third Proportional to 217,376 and 458,332

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Solution

The third proportional to 217,376 and 458,332 is: 966,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,376 : 458,332 = 458,332 : x
  2. Step 2: Convert to fraction form
    217,376/458,332 = 458,332/x
  3. Step 3: Cross multiply
    217,376x = 458,332 × 458,332
  4. Step 4: Simplify right side
    217,376x = 210,068,222,224
  5. Step 5: Solve for x
    x = 210,068,222,224/217,376
  6. Step 6: Final answer
    x = 966,381.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.