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Finding the Third Proportional to 513.25 and 778.13

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Solution

The third proportional to 513.25 and 778.13 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.25 : 778.13 = 778.13 : x
  2. Step 2: Convert to fraction form
    513.25/778.13 = 778.13/x
  3. Step 3: Cross multiply
    513.25x = 778.13 × 778.13
  4. Step 4: Simplify right side
    513.25x = 605,478.52
  5. Step 5: Solve for x
    x = 605,478.52/513.25
  6. Step 6: Final answer
    x = 1,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.