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Finding the Third Proportional to 511.38 and 793.38

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Solution

The third proportional to 511.38 and 793.38 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 793.38 = 793.38 : x
  2. Step 2: Convert to fraction form
    511.38/793.38 = 793.38/x
  3. Step 3: Cross multiply
    511.38x = 793.38 × 793.38
  4. Step 4: Simplify right side
    511.38x = 629,443.89
  5. Step 5: Solve for x
    x = 629,443.89/511.38
  6. Step 6: Final answer
    x = 1,230.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.