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Finding the Third Proportional to 202,451.91 and 468,687.52

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Solution

The third proportional to 202,451.91 and 468,687.52 is: 1,085,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,451.91 : 468,687.52 = 468,687.52 : x
  2. Step 2: Convert to fraction form
    202,451.91/468,687.52 = 468,687.52/x
  3. Step 3: Cross multiply
    202,451.91x = 468,687.52 × 468,687.52
  4. Step 4: Simplify right side
    202,451.91x = 219,667,987,302.74
  5. Step 5: Solve for x
    x = 219,667,987,302.74/202,451.91
  6. Step 6: Final answer
    x = 1,085,037.88

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.