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Finding the Third Proportional to 217,902.94 and 471,997.69

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Solution

The third proportional to 217,902.94 and 471,997.69 is: 1,022,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,902.94 : 471,997.69 = 471,997.69 : x
  2. Step 2: Convert to fraction form
    217,902.94/471,997.69 = 471,997.69/x
  3. Step 3: Cross multiply
    217,902.94x = 471,997.69 × 471,997.69
  4. Step 4: Simplify right side
    217,902.94x = 222,781,817,005.35
  5. Step 5: Solve for x
    x = 222,781,817,005.35/217,902.94
  6. Step 6: Final answer
    x = 1,022,390.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.