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Finding the Third Proportional to 266,818 and 582,884

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Solution

The third proportional to 266,818 and 582,884 is: 1,273,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,818 : 582,884 = 582,884 : x
  2. Step 2: Convert to fraction form
    266,818/582,884 = 582,884/x
  3. Step 3: Cross multiply
    266,818x = 582,884 × 582,884
  4. Step 4: Simplify right side
    266,818x = 339,753,757,456
  5. Step 5: Solve for x
    x = 339,753,757,456/266,818
  6. Step 6: Final answer
    x = 1,273,353.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.