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Finding the Third Proportional to 266,814 and 582,876

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Solution

The third proportional to 266,814 and 582,876 is: 1,273,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,814 : 582,876 = 582,876 : x
  2. Step 2: Convert to fraction form
    266,814/582,876 = 582,876/x
  3. Step 3: Cross multiply
    266,814x = 582,876 × 582,876
  4. Step 4: Simplify right side
    266,814x = 339,744,431,376
  5. Step 5: Solve for x
    x = 339,744,431,376/266,814
  6. Step 6: Final answer
    x = 1,273,338.10

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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.