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Finding the Third Proportional to 324,189 and 520,881

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Solution

The third proportional to 324,189 and 520,881 is: 836,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,189 : 520,881 = 520,881 : x
  2. Step 2: Convert to fraction form
    324,189/520,881 = 520,881/x
  3. Step 3: Cross multiply
    324,189x = 520,881 × 520,881
  4. Step 4: Simplify right side
    324,189x = 271,317,016,161
  5. Step 5: Solve for x
    x = 271,317,016,161/324,189
  6. Step 6: Final answer
    x = 836,910.00

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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.