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Finding the Third Proportional to 376,022 and 582,519

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Solution

The third proportional to 376,022 and 582,519 is: 902,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,022 : 582,519 = 582,519 : x
  2. Step 2: Convert to fraction form
    376,022/582,519 = 582,519/x
  3. Step 3: Cross multiply
    376,022x = 582,519 × 582,519
  4. Step 4: Simplify right side
    376,022x = 339,328,385,361
  5. Step 5: Solve for x
    x = 339,328,385,361/376,022
  6. Step 6: Final answer
    x = 902,416.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.