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Finding the Third Proportional to 217,844.50 and 471,876.50

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Solution

The third proportional to 217,844.50 and 471,876.50 is: 1,022,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,844.50 : 471,876.50 = 471,876.50 : x
  2. Step 2: Convert to fraction form
    217,844.50/471,876.50 = 471,876.50/x
  3. Step 3: Cross multiply
    217,844.50x = 471,876.50 × 471,876.50
  4. Step 4: Simplify right side
    217,844.50x = 222,667,431,252.25
  5. Step 5: Solve for x
    x = 222,667,431,252.25/217,844.50
  6. Step 6: Final answer
    x = 1,022,139.33

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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.