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Finding the Third Proportional to 217,844 and 471,877

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Solution

The third proportional to 217,844 and 471,877 is: 1,022,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,844 : 471,877 = 471,877 : x
  2. Step 2: Convert to fraction form
    217,844/471,877 = 471,877/x
  3. Step 3: Cross multiply
    217,844x = 471,877 × 471,877
  4. Step 4: Simplify right side
    217,844x = 222,667,903,129
  5. Step 5: Solve for x
    x = 222,667,903,129/217,844
  6. Step 6: Final answer
    x = 1,022,143.84

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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.