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Finding the Third Proportional to 253,296 and 548,757

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Solution

The third proportional to 253,296 and 548,757 is: 1,188,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,296 : 548,757 = 548,757 : x
  2. Step 2: Convert to fraction form
    253,296/548,757 = 548,757/x
  3. Step 3: Cross multiply
    253,296x = 548,757 × 548,757
  4. Step 4: Simplify right side
    253,296x = 301,134,245,049
  5. Step 5: Solve for x
    x = 301,134,245,049/253,296
  6. Step 6: Final answer
    x = 1,188,863.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.