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Finding the Third Proportional to 494.44 and 766.65

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Solution

The third proportional to 494.44 and 766.65 is: 1,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 766.65 = 766.65 : x
  2. Step 2: Convert to fraction form
    494.44/766.65 = 766.65/x
  3. Step 3: Cross multiply
    494.44x = 766.65 × 766.65
  4. Step 4: Simplify right side
    494.44x = 587,755.82
  5. Step 5: Solve for x
    x = 587,755.82/494.44
  6. Step 6: Final answer
    x = 1,188.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.