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Finding the Third Proportional to 263,295 and 397,269

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Solution

The third proportional to 263,295 and 397,269 is: 599,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,295 : 397,269 = 397,269 : x
  2. Step 2: Convert to fraction form
    263,295/397,269 = 397,269/x
  3. Step 3: Cross multiply
    263,295x = 397,269 × 397,269
  4. Step 4: Simplify right side
    263,295x = 157,822,658,361
  5. Step 5: Solve for x
    x = 157,822,658,361/263,295
  6. Step 6: Final answer
    x = 599,413.81

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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.