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Finding the Third Proportional to 750 and 974

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Solution

The third proportional to 750 and 974 is: 1,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    750 : 974 = 974 : x
  2. Step 2: Convert to fraction form
    750/974 = 974/x
  3. Step 3: Cross multiply
    750x = 974 × 974
  4. Step 4: Simplify right side
    750x = 948,676
  5. Step 5: Solve for x
    x = 948,676/750
  6. Step 6: Final answer
    x = 1,264.90

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