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Finding the Third Proportional to 396,901 and 596,245

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Solution

The third proportional to 396,901 and 596,245 is: 895,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,901 : 596,245 = 596,245 : x
  2. Step 2: Convert to fraction form
    396,901/596,245 = 596,245/x
  3. Step 3: Cross multiply
    396,901x = 596,245 × 596,245
  4. Step 4: Simplify right side
    396,901x = 355,508,100,025
  5. Step 5: Solve for x
    x = 355,508,100,025/396,901
  6. Step 6: Final answer
    x = 895,709.76

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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.