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Finding the Third Proportional to 350.26 and 768.87

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Solution

The third proportional to 350.26 and 768.87 is: 1,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 768.87 = 768.87 : x
  2. Step 2: Convert to fraction form
    350.26/768.87 = 768.87/x
  3. Step 3: Cross multiply
    350.26x = 768.87 × 768.87
  4. Step 4: Simplify right side
    350.26x = 591,156.75
  5. Step 5: Solve for x
    x = 591,156.75/350.26
  6. Step 6: Final answer
    x = 1,687.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.