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Finding the Third Proportional to 204,069.38 and 476,535.75

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Solution

The third proportional to 204,069.38 and 476,535.75 is: 1,112,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,069.38 : 476,535.75 = 476,535.75 : x
  2. Step 2: Convert to fraction form
    204,069.38/476,535.75 = 476,535.75/x
  3. Step 3: Cross multiply
    204,069.38x = 476,535.75 × 476,535.75
  4. Step 4: Simplify right side
    204,069.38x = 227,086,321,028.06
  5. Step 5: Solve for x
    x = 227,086,321,028.06/204,069.38
  6. Step 6: Final answer
    x = 1,112,789.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.