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Finding the Third Proportional to 793.88 and 1,234.78

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Solution

The third proportional to 793.88 and 1,234.78 is: 1,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.88 : 1,234.78 = 1,234.78 : x
  2. Step 2: Convert to fraction form
    793.88/1,234.78 = 1,234.78/x
  3. Step 3: Cross multiply
    793.88x = 1,234.78 × 1,234.78
  4. Step 4: Simplify right side
    793.88x = 1,524,684.74
  5. Step 5: Solve for x
    x = 1,524,684.74/793.88
  6. Step 6: Final answer
    x = 1,920.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.