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Finding the Third Proportional to 263,997 and 540,296

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Solution

The third proportional to 263,997 and 540,296 is: 1,105,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,997 : 540,296 = 540,296 : x
  2. Step 2: Convert to fraction form
    263,997/540,296 = 540,296/x
  3. Step 3: Cross multiply
    263,997x = 540,296 × 540,296
  4. Step 4: Simplify right side
    263,997x = 291,919,767,616
  5. Step 5: Solve for x
    x = 291,919,767,616/263,997
  6. Step 6: Final answer
    x = 1,105,769.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.