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Finding the Third Proportional to 863.44 and 1,299.09

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Solution

The third proportional to 863.44 and 1,299.09 is: 1,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.44 : 1,299.09 = 1,299.09 : x
  2. Step 2: Convert to fraction form
    863.44/1,299.09 = 1,299.09/x
  3. Step 3: Cross multiply
    863.44x = 1,299.09 × 1,299.09
  4. Step 4: Simplify right side
    863.44x = 1,687,644.57
  5. Step 5: Solve for x
    x = 1,687,644.57/863.44
  6. Step 6: Final answer
    x = 1,954.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.