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Finding the Third Proportional to 767.81 and 978.75

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Solution

The third proportional to 767.81 and 978.75 is: 1,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 978.75 = 978.75 : x
  2. Step 2: Convert to fraction form
    767.81/978.75 = 978.75/x
  3. Step 3: Cross multiply
    767.81x = 978.75 × 978.75
  4. Step 4: Simplify right side
    767.81x = 957,951.56
  5. Step 5: Solve for x
    x = 957,951.56/767.81
  6. Step 6: Final answer
    x = 1,247.64

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