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Finding the Third Proportional to 339.82 and 793.55

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Solution

The third proportional to 339.82 and 793.55 is: 1,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 793.55 = 793.55 : x
  2. Step 2: Convert to fraction form
    339.82/793.55 = 793.55/x
  3. Step 3: Cross multiply
    339.82x = 793.55 × 793.55
  4. Step 4: Simplify right side
    339.82x = 629,716.64
  5. Step 5: Solve for x
    x = 629,716.64/339.82
  6. Step 6: Final answer
    x = 1,853.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.