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Finding the Third Proportional to 343 and 754.50

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Solution

The third proportional to 343 and 754.50 is: 1,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 754.50 = 754.50 : x
  2. Step 2: Convert to fraction form
    343/754.50 = 754.50/x
  3. Step 3: Cross multiply
    343x = 754.50 × 754.50
  4. Step 4: Simplify right side
    343x = 569,270.25
  5. Step 5: Solve for x
    x = 569,270.25/343
  6. Step 6: Final answer
    x = 1,659.68

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