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Finding the Third Proportional to 393,652 and 590,375

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Solution

The third proportional to 393,652 and 590,375 is: 885,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,652 : 590,375 = 590,375 : x
  2. Step 2: Convert to fraction form
    393,652/590,375 = 590,375/x
  3. Step 3: Cross multiply
    393,652x = 590,375 × 590,375
  4. Step 4: Simplify right side
    393,652x = 348,542,640,625
  5. Step 5: Solve for x
    x = 348,542,640,625/393,652
  6. Step 6: Final answer
    x = 885,408.03

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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.