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Finding the Third Proportional to 513 and 789.19

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Solution

The third proportional to 513 and 789.19 is: 1,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 789.19 = 789.19 : x
  2. Step 2: Convert to fraction form
    513/789.19 = 789.19/x
  3. Step 3: Cross multiply
    513x = 789.19 × 789.19
  4. Step 4: Simplify right side
    513x = 622,816.91
  5. Step 5: Solve for x
    x = 622,816.91/513
  6. Step 6: Final answer
    x = 1,214.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.