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Finding the Third Proportional to 1,240.03 and 1,711.97

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Solution

The third proportional to 1,240.03 and 1,711.97 is: 2,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.03 : 1,711.97 = 1,711.97 : x
  2. Step 2: Convert to fraction form
    1,240.03/1,711.97 = 1,711.97/x
  3. Step 3: Cross multiply
    1,240.03x = 1,711.97 × 1,711.97
  4. Step 4: Simplify right side
    1,240.03x = 2,930,837.00
  5. Step 5: Solve for x
    x = 2,930,837.00/1,240.03
  6. Step 6: Final answer
    x = 2,363.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.