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Finding the Third Proportional to 259,936 and 540,296

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Solution

The third proportional to 259,936 and 540,296 is: 1,123,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,936 : 540,296 = 540,296 : x
  2. Step 2: Convert to fraction form
    259,936/540,296 = 540,296/x
  3. Step 3: Cross multiply
    259,936x = 540,296 × 540,296
  4. Step 4: Simplify right side
    259,936x = 291,919,767,616
  5. Step 5: Solve for x
    x = 291,919,767,616/259,936
  6. Step 6: Final answer
    x = 1,123,044.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.