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Finding the Third Proportional to 747.35 and 1,163.74

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Solution

The third proportional to 747.35 and 1,163.74 is: 1,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.35 : 1,163.74 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    747.35/1,163.74 = 1,163.74/x
  3. Step 3: Cross multiply
    747.35x = 1,163.74 × 1,163.74
  4. Step 4: Simplify right side
    747.35x = 1,354,295.88
  5. Step 5: Solve for x
    x = 1,354,295.88/747.35
  6. Step 6: Final answer
    x = 1,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.