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Finding the Third Proportional to 252,296 and 543,760

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Solution

The third proportional to 252,296 and 543,760 is: 1,171,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,296 : 543,760 = 543,760 : x
  2. Step 2: Convert to fraction form
    252,296/543,760 = 543,760/x
  3. Step 3: Cross multiply
    252,296x = 543,760 × 543,760
  4. Step 4: Simplify right side
    252,296x = 295,674,937,600
  5. Step 5: Solve for x
    x = 295,674,937,600/252,296
  6. Step 6: Final answer
    x = 1,171,936.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.