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Finding the Third Proportional to 251,882 and 383,836

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Solution

The third proportional to 251,882 and 383,836 is: 584,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,882 : 383,836 = 383,836 : x
  2. Step 2: Convert to fraction form
    251,882/383,836 = 383,836/x
  3. Step 3: Cross multiply
    251,882x = 383,836 × 383,836
  4. Step 4: Simplify right side
    251,882x = 147,330,074,896
  5. Step 5: Solve for x
    x = 147,330,074,896/251,882
  6. Step 6: Final answer
    x = 584,917.04

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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.