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Finding the Third Proportional to 1,243.27 and 1,439.86

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Solution

The third proportional to 1,243.27 and 1,439.86 is: 1,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.27 : 1,439.86 = 1,439.86 : x
  2. Step 2: Convert to fraction form
    1,243.27/1,439.86 = 1,439.86/x
  3. Step 3: Cross multiply
    1,243.27x = 1,439.86 × 1,439.86
  4. Step 4: Simplify right side
    1,243.27x = 2,073,195.02
  5. Step 5: Solve for x
    x = 2,073,195.02/1,243.27
  6. Step 6: Final answer
    x = 1,667.54

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.