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Finding the Third Proportional to 668 and 768

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Solution

The third proportional to 668 and 768 is: 882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 768 = 768 : x
  2. Step 2: Convert to fraction form
    668/768 = 768/x
  3. Step 3: Cross multiply
    668x = 768 × 768
  4. Step 4: Simplify right side
    668x = 589,824
  5. Step 5: Solve for x
    x = 589,824/668
  6. Step 6: Final answer
    x = 882.97

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