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Finding the Third Proportional to 361.69 and 748.97

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Solution

The third proportional to 361.69 and 748.97 is: 1,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 748.97 = 748.97 : x
  2. Step 2: Convert to fraction form
    361.69/748.97 = 748.97/x
  3. Step 3: Cross multiply
    361.69x = 748.97 × 748.97
  4. Step 4: Simplify right side
    361.69x = 560,954.19
  5. Step 5: Solve for x
    x = 560,954.19/361.69
  6. Step 6: Final answer
    x = 1,550.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.