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Finding the Third Proportional to 324,204 and 520,907

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Solution

The third proportional to 324,204 and 520,907 is: 836,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,204 : 520,907 = 520,907 : x
  2. Step 2: Convert to fraction form
    324,204/520,907 = 520,907/x
  3. Step 3: Cross multiply
    324,204x = 520,907 × 520,907
  4. Step 4: Simplify right side
    324,204x = 271,344,102,649
  5. Step 5: Solve for x
    x = 271,344,102,649/324,204
  6. Step 6: Final answer
    x = 836,954.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.