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Finding the Third Proportional to 1,313.84 and 1,976.27

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Solution

The third proportional to 1,313.84 and 1,976.27 is: 2,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.84 : 1,976.27 = 1,976.27 : x
  2. Step 2: Convert to fraction form
    1,313.84/1,976.27 = 1,976.27/x
  3. Step 3: Cross multiply
    1,313.84x = 1,976.27 × 1,976.27
  4. Step 4: Simplify right side
    1,313.84x = 3,905,656.70
  5. Step 5: Solve for x
    x = 3,905,656.70/1,313.84
  6. Step 6: Final answer
    x = 2,972.71

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