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Finding the Third Proportional to 383,949 and 529,266

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Solution

The third proportional to 383,949 and 529,266 is: 729,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,949 : 529,266 = 529,266 : x
  2. Step 2: Convert to fraction form
    383,949/529,266 = 529,266/x
  3. Step 3: Cross multiply
    383,949x = 529,266 × 529,266
  4. Step 4: Simplify right side
    383,949x = 280,122,498,756
  5. Step 5: Solve for x
    x = 280,122,498,756/383,949
  6. Step 6: Final answer
    x = 729,582.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.