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Finding the Third Proportional to 396,811 and 596,121

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Solution

The third proportional to 396,811 and 596,121 is: 895,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,811 : 596,121 = 596,121 : x
  2. Step 2: Convert to fraction form
    396,811/596,121 = 596,121/x
  3. Step 3: Cross multiply
    396,811x = 596,121 × 596,121
  4. Step 4: Simplify right side
    396,811x = 355,360,246,641
  5. Step 5: Solve for x
    x = 355,360,246,641/396,811
  6. Step 6: Final answer
    x = 895,540.31

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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.