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Finding the Third Proportional to 271 and 396.75

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Solution

The third proportional to 271 and 396.75 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 396.75 = 396.75 : x
  2. Step 2: Convert to fraction form
    271/396.75 = 396.75/x
  3. Step 3: Cross multiply
    271x = 396.75 × 396.75
  4. Step 4: Simplify right side
    271x = 157,410.56
  5. Step 5: Solve for x
    x = 157,410.56/271
  6. Step 6: Final answer
    x = 580.85

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