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Finding the Third Proportional to 638.25 and 699

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Solution

The third proportional to 638.25 and 699 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.25 : 699 = 699 : x
  2. Step 2: Convert to fraction form
    638.25/699 = 699/x
  3. Step 3: Cross multiply
    638.25x = 699 × 699
  4. Step 4: Simplify right side
    638.25x = 488,601
  5. Step 5: Solve for x
    x = 488,601/638.25
  6. Step 6: Final answer
    x = 765.53

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