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Finding the Third Proportional to 265,743 and 397,881

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Solution

The third proportional to 265,743 and 397,881 is: 595,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,743 : 397,881 = 397,881 : x
  2. Step 2: Convert to fraction form
    265,743/397,881 = 397,881/x
  3. Step 3: Cross multiply
    265,743x = 397,881 × 397,881
  4. Step 4: Simplify right side
    265,743x = 158,309,290,161
  5. Step 5: Solve for x
    x = 158,309,290,161/265,743
  6. Step 6: Final answer
    x = 595,723.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.