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Finding the Third Proportional to 325,968 and 518,652

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Solution

The third proportional to 325,968 and 518,652 is: 825,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,968 : 518,652 = 518,652 : x
  2. Step 2: Convert to fraction form
    325,968/518,652 = 518,652/x
  3. Step 3: Cross multiply
    325,968x = 518,652 × 518,652
  4. Step 4: Simplify right side
    325,968x = 268,999,897,104
  5. Step 5: Solve for x
    x = 268,999,897,104/325,968
  6. Step 6: Final answer
    x = 825,234.06

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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.