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Finding the Third Proportional to 324,542 and 699,016

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Solution

The third proportional to 324,542 and 699,016 is: 1,505,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,542 : 699,016 = 699,016 : x
  2. Step 2: Convert to fraction form
    324,542/699,016 = 699,016/x
  3. Step 3: Cross multiply
    324,542x = 699,016 × 699,016
  4. Step 4: Simplify right side
    324,542x = 488,623,368,256
  5. Step 5: Solve for x
    x = 488,623,368,256/324,542
  6. Step 6: Final answer
    x = 1,505,578.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.