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Finding the Third Proportional to 513 and 778.50

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Solution

The third proportional to 513 and 778.50 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 778.50 = 778.50 : x
  2. Step 2: Convert to fraction form
    513/778.50 = 778.50/x
  3. Step 3: Cross multiply
    513x = 778.50 × 778.50
  4. Step 4: Simplify right side
    513x = 606,062.25
  5. Step 5: Solve for x
    x = 606,062.25/513
  6. Step 6: Final answer
    x = 1,181.41

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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.