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Finding the Third Proportional to 217,656 and 454,992

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Solution

The third proportional to 217,656 and 454,992 is: 951,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,656 : 454,992 = 454,992 : x
  2. Step 2: Convert to fraction form
    217,656/454,992 = 454,992/x
  3. Step 3: Cross multiply
    217,656x = 454,992 × 454,992
  4. Step 4: Simplify right side
    217,656x = 207,017,720,064
  5. Step 5: Solve for x
    x = 207,017,720,064/217,656
  6. Step 6: Final answer
    x = 951,123.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.