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Finding the Third Proportional to 263,181 and 578,838

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Solution

The third proportional to 263,181 and 578,838 is: 1,273,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,181 : 578,838 = 578,838 : x
  2. Step 2: Convert to fraction form
    263,181/578,838 = 578,838/x
  3. Step 3: Cross multiply
    263,181x = 578,838 × 578,838
  4. Step 4: Simplify right side
    263,181x = 335,053,430,244
  5. Step 5: Solve for x
    x = 335,053,430,244/263,181
  6. Step 6: Final answer
    x = 1,273,091.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.