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Finding the Third Proportional to 361.97 and 735.33

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Solution

The third proportional to 361.97 and 735.33 is: 1,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 735.33 = 735.33 : x
  2. Step 2: Convert to fraction form
    361.97/735.33 = 735.33/x
  3. Step 3: Cross multiply
    361.97x = 735.33 × 735.33
  4. Step 4: Simplify right side
    361.97x = 540,707.45
  5. Step 5: Solve for x
    x = 540,707.45/361.97
  6. Step 6: Final answer
    x = 1,493.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.