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Finding the Third Proportional to 285,650 and 667,589

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Solution

The third proportional to 285,650 and 667,589 is: 1,560,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,650 : 667,589 = 667,589 : x
  2. Step 2: Convert to fraction form
    285,650/667,589 = 667,589/x
  3. Step 3: Cross multiply
    285,650x = 667,589 × 667,589
  4. Step 4: Simplify right side
    285,650x = 445,675,072,921
  5. Step 5: Solve for x
    x = 445,675,072,921/285,650
  6. Step 6: Final answer
    x = 1,560,213.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.