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Finding the Third Proportional to 192,589 and 423,608

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Solution

The third proportional to 192,589 and 423,608 is: 931,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,589 : 423,608 = 423,608 : x
  2. Step 2: Convert to fraction form
    192,589/423,608 = 423,608/x
  3. Step 3: Cross multiply
    192,589x = 423,608 × 423,608
  4. Step 4: Simplify right side
    192,589x = 179,443,737,664
  5. Step 5: Solve for x
    x = 179,443,737,664/192,589
  6. Step 6: Final answer
    x = 931,744.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.