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Finding the Third Proportional to 343.62 and 605.60

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Solution

The third proportional to 343.62 and 605.60 is: 1,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 605.60 = 605.60 : x
  2. Step 2: Convert to fraction form
    343.62/605.60 = 605.60/x
  3. Step 3: Cross multiply
    343.62x = 605.60 × 605.60
  4. Step 4: Simplify right side
    343.62x = 366,753.25
  5. Step 5: Solve for x
    x = 366,753.25/343.62
  6. Step 6: Final answer
    x = 1,067.33

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.