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Finding the Third Proportional to 1,040.91 and 1,545.56

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Solution

The third proportional to 1,040.91 and 1,545.56 is: 2,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.91 : 1,545.56 = 1,545.56 : x
  2. Step 2: Convert to fraction form
    1,040.91/1,545.56 = 1,545.56/x
  3. Step 3: Cross multiply
    1,040.91x = 1,545.56 × 1,545.56
  4. Step 4: Simplify right side
    1,040.91x = 2,388,763.44
  5. Step 5: Solve for x
    x = 2,388,763.44/1,040.91
  6. Step 6: Final answer
    x = 2,294.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.