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Finding the Third Proportional to 266,493 and 543,691

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Solution

The third proportional to 266,493 and 543,691 is: 1,109,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,493 : 543,691 = 543,691 : x
  2. Step 2: Convert to fraction form
    266,493/543,691 = 543,691/x
  3. Step 3: Cross multiply
    266,493x = 543,691 × 543,691
  4. Step 4: Simplify right side
    266,493x = 295,599,903,481
  5. Step 5: Solve for x
    x = 295,599,903,481/266,493
  6. Step 6: Final answer
    x = 1,109,222.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.