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Finding the Third Proportional to 612.75 and 978.38

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Solution

The third proportional to 612.75 and 978.38 is: 1,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 978.38 = 978.38 : x
  2. Step 2: Convert to fraction form
    612.75/978.38 = 978.38/x
  3. Step 3: Cross multiply
    612.75x = 978.38 × 978.38
  4. Step 4: Simplify right side
    612.75x = 957,217.64
  5. Step 5: Solve for x
    x = 957,217.64/612.75
  6. Step 6: Final answer
    x = 1,562.17

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