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Finding the Third Proportional to 192,539 and 463,850

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Solution

The third proportional to 192,539 and 463,850 is: 1,117,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,539 : 463,850 = 463,850 : x
  2. Step 2: Convert to fraction form
    192,539/463,850 = 463,850/x
  3. Step 3: Cross multiply
    192,539x = 463,850 × 463,850
  4. Step 4: Simplify right side
    192,539x = 215,156,822,500
  5. Step 5: Solve for x
    x = 215,156,822,500/192,539
  6. Step 6: Final answer
    x = 1,117,471.38

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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.