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Finding the Third Proportional to 394,251 and 599,168

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Solution

The third proportional to 394,251 and 599,168 is: 910,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,251 : 599,168 = 599,168 : x
  2. Step 2: Convert to fraction form
    394,251/599,168 = 599,168/x
  3. Step 3: Cross multiply
    394,251x = 599,168 × 599,168
  4. Step 4: Simplify right side
    394,251x = 359,002,292,224
  5. Step 5: Solve for x
    x = 359,002,292,224/394,251
  6. Step 6: Final answer
    x = 910,593.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.