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Finding the Third Proportional to 394,923 and 595,872

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Solution

The third proportional to 394,923 and 595,872 is: 899,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,923 : 595,872 = 595,872 : x
  2. Step 2: Convert to fraction form
    394,923/595,872 = 595,872/x
  3. Step 3: Cross multiply
    394,923x = 595,872 × 595,872
  4. Step 4: Simplify right side
    394,923x = 355,063,440,384
  5. Step 5: Solve for x
    x = 355,063,440,384/394,923
  6. Step 6: Final answer
    x = 899,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.