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Finding the Third Proportional to 324,195.75 and 520,895.25

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Solution

The third proportional to 324,195.75 and 520,895.25 is: 836,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,195.75 : 520,895.25 = 520,895.25 : x
  2. Step 2: Convert to fraction form
    324,195.75/520,895.25 = 520,895.25/x
  3. Step 3: Cross multiply
    324,195.75x = 520,895.25 × 520,895.25
  4. Step 4: Simplify right side
    324,195.75x = 271,331,861,472.56
  5. Step 5: Solve for x
    x = 271,331,861,472.56/324,195.75
  6. Step 6: Final answer
    x = 836,938.37

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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.