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Finding the Third Proportional to 325,879 and 492,099

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Solution

The third proportional to 325,879 and 492,099 is: 743,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,879 : 492,099 = 492,099 : x
  2. Step 2: Convert to fraction form
    325,879/492,099 = 492,099/x
  3. Step 3: Cross multiply
    325,879x = 492,099 × 492,099
  4. Step 4: Simplify right side
    325,879x = 242,161,425,801
  5. Step 5: Solve for x
    x = 242,161,425,801/325,879
  6. Step 6: Final answer
    x = 743,102.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.