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Finding the Third Proportional to 217,845 and 471,876

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Solution

The third proportional to 217,845 and 471,876 is: 1,022,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,845 : 471,876 = 471,876 : x
  2. Step 2: Convert to fraction form
    217,845/471,876 = 471,876/x
  3. Step 3: Cross multiply
    217,845x = 471,876 × 471,876
  4. Step 4: Simplify right side
    217,845x = 222,666,959,376
  5. Step 5: Solve for x
    x = 222,666,959,376/217,845
  6. Step 6: Final answer
    x = 1,022,134.82

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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.