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Finding the Third Proportional to 359.44 and 835.97

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Solution

The third proportional to 359.44 and 835.97 is: 1,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 835.97 = 835.97 : x
  2. Step 2: Convert to fraction form
    359.44/835.97 = 835.97/x
  3. Step 3: Cross multiply
    359.44x = 835.97 × 835.97
  4. Step 4: Simplify right side
    359.44x = 698,843.75
  5. Step 5: Solve for x
    x = 698,843.75/359.44
  6. Step 6: Final answer
    x = 1,944.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.