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Finding the Third Proportional to 361.13 and 759.38

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Solution

The third proportional to 361.13 and 759.38 is: 1,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 759.38 = 759.38 : x
  2. Step 2: Convert to fraction form
    361.13/759.38 = 759.38/x
  3. Step 3: Cross multiply
    361.13x = 759.38 × 759.38
  4. Step 4: Simplify right side
    361.13x = 576,650.39
  5. Step 5: Solve for x
    x = 576,650.39/361.13
  6. Step 6: Final answer
    x = 1,596.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.