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Finding the Third Proportional to 382,092 and 574,098

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Solution

The third proportional to 382,092 and 574,098 is: 862,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,092 : 574,098 = 574,098 : x
  2. Step 2: Convert to fraction form
    382,092/574,098 = 574,098/x
  3. Step 3: Cross multiply
    382,092x = 574,098 × 574,098
  4. Step 4: Simplify right side
    382,092x = 329,588,513,604
  5. Step 5: Solve for x
    x = 329,588,513,604/382,092
  6. Step 6: Final answer
    x = 862,589.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.