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Finding the Third Proportional to 511.75 and 769.25

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Solution

The third proportional to 511.75 and 769.25 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 769.25 = 769.25 : x
  2. Step 2: Convert to fraction form
    511.75/769.25 = 769.25/x
  3. Step 3: Cross multiply
    511.75x = 769.25 × 769.25
  4. Step 4: Simplify right side
    511.75x = 591,745.56
  5. Step 5: Solve for x
    x = 591,745.56/511.75
  6. Step 6: Final answer
    x = 1,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.