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Finding the Third Proportional to 324,183 and 520,872

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Solution

The third proportional to 324,183 and 520,872 is: 836,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,183 : 520,872 = 520,872 : x
  2. Step 2: Convert to fraction form
    324,183/520,872 = 520,872/x
  3. Step 3: Cross multiply
    324,183x = 520,872 × 520,872
  4. Step 4: Simplify right side
    324,183x = 271,307,640,384
  5. Step 5: Solve for x
    x = 271,307,640,384/324,183
  6. Step 6: Final answer
    x = 836,896.57

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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.