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Finding the Third Proportional to 978.75 and 1,555.31

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Solution

The third proportional to 978.75 and 1,555.31 is: 2,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 1,555.31 = 1,555.31 : x
  2. Step 2: Convert to fraction form
    978.75/1,555.31 = 1,555.31/x
  3. Step 3: Cross multiply
    978.75x = 1,555.31 × 1,555.31
  4. Step 4: Simplify right side
    978.75x = 2,418,996.97
  5. Step 5: Solve for x
    x = 2,418,996.97/978.75
  6. Step 6: Final answer
    x = 2,471.52

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