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Finding the Third Proportional to 494.39 and 733.97

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Solution

The third proportional to 494.39 and 733.97 is: 1,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 733.97 = 733.97 : x
  2. Step 2: Convert to fraction form
    494.39/733.97 = 733.97/x
  3. Step 3: Cross multiply
    494.39x = 733.97 × 733.97
  4. Step 4: Simplify right side
    494.39x = 538,710.13
  5. Step 5: Solve for x
    x = 538,710.13/494.39
  6. Step 6: Final answer
    x = 1,089.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.