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Finding the Third Proportional to 252,997 and 543,515

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Solution

The third proportional to 252,997 and 543,515 is: 1,167,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,997 : 543,515 = 543,515 : x
  2. Step 2: Convert to fraction form
    252,997/543,515 = 543,515/x
  3. Step 3: Cross multiply
    252,997x = 543,515 × 543,515
  4. Step 4: Simplify right side
    252,997x = 295,408,555,225
  5. Step 5: Solve for x
    x = 295,408,555,225/252,997
  6. Step 6: Final answer
    x = 1,167,636.59

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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.