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Finding the Third Proportional to 217,956 and 467,016

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Solution

The third proportional to 217,956 and 467,016 is: 1,000,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,956 : 467,016 = 467,016 : x
  2. Step 2: Convert to fraction form
    217,956/467,016 = 467,016/x
  3. Step 3: Cross multiply
    217,956x = 467,016 × 467,016
  4. Step 4: Simplify right side
    217,956x = 218,103,944,256
  5. Step 5: Solve for x
    x = 218,103,944,256/217,956
  6. Step 6: Final answer
    x = 1,000,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.