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Finding the Third Proportional to 241,279 and 519,954

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Solution

The third proportional to 241,279 and 519,954 is: 1,120,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,279 : 519,954 = 519,954 : x
  2. Step 2: Convert to fraction form
    241,279/519,954 = 519,954/x
  3. Step 3: Cross multiply
    241,279x = 519,954 × 519,954
  4. Step 4: Simplify right side
    241,279x = 270,352,162,116
  5. Step 5: Solve for x
    x = 270,352,162,116/241,279
  6. Step 6: Final answer
    x = 1,120,496.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.