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Finding the Third Proportional to 644.75 and 739.75

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Solution

The third proportional to 644.75 and 739.75 is: 848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 739.75 = 739.75 : x
  2. Step 2: Convert to fraction form
    644.75/739.75 = 739.75/x
  3. Step 3: Cross multiply
    644.75x = 739.75 × 739.75
  4. Step 4: Simplify right side
    644.75x = 547,230.06
  5. Step 5: Solve for x
    x = 547,230.06/644.75
  6. Step 6: Final answer
    x = 848.75

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.