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Finding the Third Proportional to 733.22 and 1,099.41

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Solution

The third proportional to 733.22 and 1,099.41 is: 1,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.22 : 1,099.41 = 1,099.41 : x
  2. Step 2: Convert to fraction form
    733.22/1,099.41 = 1,099.41/x
  3. Step 3: Cross multiply
    733.22x = 1,099.41 × 1,099.41
  4. Step 4: Simplify right side
    733.22x = 1,208,694.10
  5. Step 5: Solve for x
    x = 1,208,694.10/733.22
  6. Step 6: Final answer
    x = 1,648.48

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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.