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Finding the Third Proportional to 379,392 and 568,098

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Solution

The third proportional to 379,392 and 568,098 is: 850,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,392 : 568,098 = 568,098 : x
  2. Step 2: Convert to fraction form
    379,392/568,098 = 568,098/x
  3. Step 3: Cross multiply
    379,392x = 568,098 × 568,098
  4. Step 4: Simplify right side
    379,392x = 322,735,337,604
  5. Step 5: Solve for x
    x = 322,735,337,604/379,392
  6. Step 6: Final answer
    x = 850,664.58

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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.