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Finding the Third Proportional to 231,639.75 and 502,372.13

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Solution

The third proportional to 231,639.75 and 502,372.13 is: 1,089,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,639.75 : 502,372.13 = 502,372.13 : x
  2. Step 2: Convert to fraction form
    231,639.75/502,372.13 = 502,372.13/x
  3. Step 3: Cross multiply
    231,639.75x = 502,372.13 × 502,372.13
  4. Step 4: Simplify right side
    231,639.75x = 252,377,751,977.02
  5. Step 5: Solve for x
    x = 252,377,751,977.02/231,639.75
  6. Step 6: Final answer
    x = 1,089,526.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.