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Finding the Third Proportional to 217,027.69 and 476,074.97

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Solution

The third proportional to 217,027.69 and 476,074.97 is: 1,044,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,027.69 : 476,074.97 = 476,074.97 : x
  2. Step 2: Convert to fraction form
    217,027.69/476,074.97 = 476,074.97/x
  3. Step 3: Cross multiply
    217,027.69x = 476,074.97 × 476,074.97
  4. Step 4: Simplify right side
    217,027.69x = 226,647,375,870.31
  5. Step 5: Solve for x
    x = 226,647,375,870.31/217,027.69
  6. Step 6: Final answer
    x = 1,044,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.