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Finding the Third Proportional to 217,873.13 and 471,936.38

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Solution

The third proportional to 217,873.13 and 471,936.38 is: 1,022,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,873.13 : 471,936.38 = 471,936.38 : x
  2. Step 2: Convert to fraction form
    217,873.13/471,936.38 = 471,936.38/x
  3. Step 3: Cross multiply
    217,873.13x = 471,936.38 × 471,936.38
  4. Step 4: Simplify right side
    217,873.13x = 222,723,942,048.14
  5. Step 5: Solve for x
    x = 222,723,942,048.14/217,873.13
  6. Step 6: Final answer
    x = 1,022,264.41

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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.