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Finding the Third Proportional to 325,968 and 518,680

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Solution

The third proportional to 325,968 and 518,680 is: 825,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,968 : 518,680 = 518,680 : x
  2. Step 2: Convert to fraction form
    325,968/518,680 = 518,680/x
  3. Step 3: Cross multiply
    325,968x = 518,680 × 518,680
  4. Step 4: Simplify right side
    325,968x = 269,028,942,400
  5. Step 5: Solve for x
    x = 269,028,942,400/325,968
  6. Step 6: Final answer
    x = 825,323.17

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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.