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Finding the Third Proportional to 614.81 and 1,299.09

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Solution

The third proportional to 614.81 and 1,299.09 is: 2,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 1,299.09 = 1,299.09 : x
  2. Step 2: Convert to fraction form
    614.81/1,299.09 = 1,299.09/x
  3. Step 3: Cross multiply
    614.81x = 1,299.09 × 1,299.09
  4. Step 4: Simplify right side
    614.81x = 1,687,644.57
  5. Step 5: Solve for x
    x = 1,687,644.57/614.81
  6. Step 6: Final answer
    x = 2,744.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.