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Finding the Third Proportional to 394,443 and 579,063

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Solution

The third proportional to 394,443 and 579,063 is: 850,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,443 : 579,063 = 579,063 : x
  2. Step 2: Convert to fraction form
    394,443/579,063 = 579,063/x
  3. Step 3: Cross multiply
    394,443x = 579,063 × 579,063
  4. Step 4: Simplify right side
    394,443x = 335,313,957,969
  5. Step 5: Solve for x
    x = 335,313,957,969/394,443
  6. Step 6: Final answer
    x = 850,094.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.