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Finding the Third Proportional to 396,622 and 595,805

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Solution

The third proportional to 396,622 and 595,805 is: 895,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,622 : 595,805 = 595,805 : x
  2. Step 2: Convert to fraction form
    396,622/595,805 = 595,805/x
  3. Step 3: Cross multiply
    396,622x = 595,805 × 595,805
  4. Step 4: Simplify right side
    396,622x = 354,983,598,025
  5. Step 5: Solve for x
    x = 354,983,598,025/396,622
  6. Step 6: Final answer
    x = 895,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.