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Finding the Third Proportional to 514.69 and 778.36

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Solution

The third proportional to 514.69 and 778.36 is: 1,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 778.36 = 778.36 : x
  2. Step 2: Convert to fraction form
    514.69/778.36 = 778.36/x
  3. Step 3: Cross multiply
    514.69x = 778.36 × 778.36
  4. Step 4: Simplify right side
    514.69x = 605,843.32
  5. Step 5: Solve for x
    x = 605,843.32/514.69
  6. Step 6: Final answer
    x = 1,177.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.