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Finding the Third Proportional to 731.85 and 1,099.20

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Solution

The third proportional to 731.85 and 1,099.20 is: 1,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.85 : 1,099.20 = 1,099.20 : x
  2. Step 2: Convert to fraction form
    731.85/1,099.20 = 1,099.20/x
  3. Step 3: Cross multiply
    731.85x = 1,099.20 × 1,099.20
  4. Step 4: Simplify right side
    731.85x = 1,208,230.34
  5. Step 5: Solve for x
    x = 1,208,230.34/731.85
  6. Step 6: Final answer
    x = 1,650.93

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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.