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Finding the Third Proportional to 394,856 and 595,836

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Solution

The third proportional to 394,856 and 595,836 is: 899,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,856 : 595,836 = 595,836 : x
  2. Step 2: Convert to fraction form
    394,856/595,836 = 595,836/x
  3. Step 3: Cross multiply
    394,856x = 595,836 × 595,836
  4. Step 4: Simplify right side
    394,856x = 355,020,538,896
  5. Step 5: Solve for x
    x = 355,020,538,896/394,856
  6. Step 6: Final answer
    x = 899,113.95

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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.