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Finding the Third Proportional to 191,992 and 413,418

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Solution

The third proportional to 191,992 and 413,418 is: 890,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,992 : 413,418 = 413,418 : x
  2. Step 2: Convert to fraction form
    191,992/413,418 = 413,418/x
  3. Step 3: Cross multiply
    191,992x = 413,418 × 413,418
  4. Step 4: Simplify right side
    191,992x = 170,914,442,724
  5. Step 5: Solve for x
    x = 170,914,442,724/191,992
  6. Step 6: Final answer
    x = 890,216.48

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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.