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Finding the Third Proportional to 744.61 and 1,251.91

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Solution

The third proportional to 744.61 and 1,251.91 is: 2,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.61 : 1,251.91 = 1,251.91 : x
  2. Step 2: Convert to fraction form
    744.61/1,251.91 = 1,251.91/x
  3. Step 3: Cross multiply
    744.61x = 1,251.91 × 1,251.91
  4. Step 4: Simplify right side
    744.61x = 1,567,288.82
  5. Step 5: Solve for x
    x = 1,567,288.82/744.61
  6. Step 6: Final answer
    x = 2,104.85

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.