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Finding the Third Proportional to 192,584 and 463,919

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Solution

The third proportional to 192,584 and 463,919 is: 1,117,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,584 : 463,919 = 463,919 : x
  2. Step 2: Convert to fraction form
    192,584/463,919 = 463,919/x
  3. Step 3: Cross multiply
    192,584x = 463,919 × 463,919
  4. Step 4: Simplify right side
    192,584x = 215,220,838,561
  5. Step 5: Solve for x
    x = 215,220,838,561/192,584
  6. Step 6: Final answer
    x = 1,117,542.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.