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Finding the Third Proportional to 326,162 and 518,889

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Solution

The third proportional to 326,162 and 518,889 is: 825,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,162 : 518,889 = 518,889 : x
  2. Step 2: Convert to fraction form
    326,162/518,889 = 518,889/x
  3. Step 3: Cross multiply
    326,162x = 518,889 × 518,889
  4. Step 4: Simplify right side
    326,162x = 269,245,794,321
  5. Step 5: Solve for x
    x = 269,245,794,321/326,162
  6. Step 6: Final answer
    x = 825,497.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.