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Finding the Third Proportional to 263,904 and 398,112

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Solution

The third proportional to 263,904 and 398,112 is: 600,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,904 : 398,112 = 398,112 : x
  2. Step 2: Convert to fraction form
    263,904/398,112 = 398,112/x
  3. Step 3: Cross multiply
    263,904x = 398,112 × 398,112
  4. Step 4: Simplify right side
    263,904x = 158,493,164,544
  5. Step 5: Solve for x
    x = 158,493,164,544/263,904
  6. Step 6: Final answer
    x = 600,571.29

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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.