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Finding the Third Proportional to 367.88 and 793.49

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Solution

The third proportional to 367.88 and 793.49 is: 1,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 793.49 = 793.49 : x
  2. Step 2: Convert to fraction form
    367.88/793.49 = 793.49/x
  3. Step 3: Cross multiply
    367.88x = 793.49 × 793.49
  4. Step 4: Simplify right side
    367.88x = 629,632.95
  5. Step 5: Solve for x
    x = 629,632.95/367.88
  6. Step 6: Final answer
    x = 1,711.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.