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Finding the Third Proportional to 324,191 and 520,884

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Solution

The third proportional to 324,191 and 520,884 is: 836,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,191 : 520,884 = 520,884 : x
  2. Step 2: Convert to fraction form
    324,191/520,884 = 520,884/x
  3. Step 3: Cross multiply
    324,191x = 520,884 × 520,884
  4. Step 4: Simplify right side
    324,191x = 271,320,141,456
  5. Step 5: Solve for x
    x = 271,320,141,456/324,191
  6. Step 6: Final answer
    x = 836,914.48

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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.