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Finding the Third Proportional to 324,252 and 518,001

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Solution

The third proportional to 324,252 and 518,001 is: 827,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,252 : 518,001 = 518,001 : x
  2. Step 2: Convert to fraction form
    324,252/518,001 = 518,001/x
  3. Step 3: Cross multiply
    324,252x = 518,001 × 518,001
  4. Step 4: Simplify right side
    324,252x = 268,325,036,001
  5. Step 5: Solve for x
    x = 268,325,036,001/324,252
  6. Step 6: Final answer
    x = 827,520.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.