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Finding the Third Proportional to 265,734 and 397,872

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Solution

The third proportional to 265,734 and 397,872 is: 595,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734 : 397,872 = 397,872 : x
  2. Step 2: Convert to fraction form
    265,734/397,872 = 397,872/x
  3. Step 3: Cross multiply
    265,734x = 397,872 × 397,872
  4. Step 4: Simplify right side
    265,734x = 158,302,128,384
  5. Step 5: Solve for x
    x = 158,302,128,384/265,734
  6. Step 6: Final answer
    x = 595,716.50

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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.