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Finding the Third Proportional to 325,971 and 518,682

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Solution

The third proportional to 325,971 and 518,682 is: 825,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,971 : 518,682 = 518,682 : x
  2. Step 2: Convert to fraction form
    325,971/518,682 = 518,682/x
  3. Step 3: Cross multiply
    325,971x = 518,682 × 518,682
  4. Step 4: Simplify right side
    325,971x = 269,031,017,124
  5. Step 5: Solve for x
    x = 269,031,017,124/325,971
  6. Step 6: Final answer
    x = 825,321.94

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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.