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Finding the Third Proportional to 202,614.38 and 440,904.75

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Solution

The third proportional to 202,614.38 and 440,904.75 is: 959,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614.38 : 440,904.75 = 440,904.75 : x
  2. Step 2: Convert to fraction form
    202,614.38/440,904.75 = 440,904.75/x
  3. Step 3: Cross multiply
    202,614.38x = 440,904.75 × 440,904.75
  4. Step 4: Simplify right side
    202,614.38x = 194,396,998,572.56
  5. Step 5: Solve for x
    x = 194,396,998,572.56/202,614.38
  6. Step 6: Final answer
    x = 959,443.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.