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Finding the Third Proportional to 226,380.38 and 479,742.75

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Solution

The third proportional to 226,380.38 and 479,742.75 is: 1,016,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,380.38 : 479,742.75 = 479,742.75 : x
  2. Step 2: Convert to fraction form
    226,380.38/479,742.75 = 479,742.75/x
  3. Step 3: Cross multiply
    226,380.38x = 479,742.75 × 479,742.75
  4. Step 4: Simplify right side
    226,380.38x = 230,153,106,177.56
  5. Step 5: Solve for x
    x = 230,153,106,177.56/226,380.38
  6. Step 6: Final answer
    x = 1,016,665.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.