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Finding the Third Proportional to 322,769 and 659,794

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Solution

The third proportional to 322,769 and 659,794 is: 1,348,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,769 : 659,794 = 659,794 : x
  2. Step 2: Convert to fraction form
    322,769/659,794 = 659,794/x
  3. Step 3: Cross multiply
    322,769x = 659,794 × 659,794
  4. Step 4: Simplify right side
    322,769x = 435,328,122,436
  5. Step 5: Solve for x
    x = 435,328,122,436/322,769
  6. Step 6: Final answer
    x = 1,348,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.