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Finding the Third Proportional to 196,744 and 423,589

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Solution

The third proportional to 196,744 and 423,589 is: 911,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,744 : 423,589 = 423,589 : x
  2. Step 2: Convert to fraction form
    196,744/423,589 = 423,589/x
  3. Step 3: Cross multiply
    196,744x = 423,589 × 423,589
  4. Step 4: Simplify right side
    196,744x = 179,427,640,921
  5. Step 5: Solve for x
    x = 179,427,640,921/196,744
  6. Step 6: Final answer
    x = 911,985.33

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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.