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Finding the Third Proportional to 263,277 and 397,242

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Solution

The third proportional to 263,277 and 397,242 is: 599,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,277 : 397,242 = 397,242 : x
  2. Step 2: Convert to fraction form
    263,277/397,242 = 397,242/x
  3. Step 3: Cross multiply
    263,277x = 397,242 × 397,242
  4. Step 4: Simplify right side
    263,277x = 157,801,206,564
  5. Step 5: Solve for x
    x = 157,801,206,564/263,277
  6. Step 6: Final answer
    x = 599,373.31

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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.