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Finding the Third Proportional to 394,018 and 576,975

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Solution

The third proportional to 394,018 and 576,975 is: 844,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,018 : 576,975 = 576,975 : x
  2. Step 2: Convert to fraction form
    394,018/576,975 = 576,975/x
  3. Step 3: Cross multiply
    394,018x = 576,975 × 576,975
  4. Step 4: Simplify right side
    394,018x = 332,900,150,625
  5. Step 5: Solve for x
    x = 332,900,150,625/394,018
  6. Step 6: Final answer
    x = 844,885.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.