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Finding the Third Proportional to 217,884.50 and 471,949

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Solution

The third proportional to 217,884.50 and 471,949 is: 1,022,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,884.50 : 471,949 = 471,949 : x
  2. Step 2: Convert to fraction form
    217,884.50/471,949 = 471,949/x
  3. Step 3: Cross multiply
    217,884.50x = 471,949 × 471,949
  4. Step 4: Simplify right side
    217,884.50x = 222,735,858,601
  5. Step 5: Solve for x
    x = 222,735,858,601/217,884.50
  6. Step 6: Final answer
    x = 1,022,265.74

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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.