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Finding the Third Proportional to 396,065 and 595,994

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Solution

The third proportional to 396,065 and 595,994 is: 896,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,065 : 595,994 = 595,994 : x
  2. Step 2: Convert to fraction form
    396,065/595,994 = 595,994/x
  3. Step 3: Cross multiply
    396,065x = 595,994 × 595,994
  4. Step 4: Simplify right side
    396,065x = 355,208,848,036
  5. Step 5: Solve for x
    x = 355,208,848,036/396,065
  6. Step 6: Final answer
    x = 896,844.83

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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.