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Finding the Third Proportional to 396,079 and 596,009

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Solution

The third proportional to 396,079 and 596,009 is: 896,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,079 : 596,009 = 596,009 : x
  2. Step 2: Convert to fraction form
    396,079/596,009 = 596,009/x
  3. Step 3: Cross multiply
    396,079x = 596,009 × 596,009
  4. Step 4: Simplify right side
    396,079x = 355,226,728,081
  5. Step 5: Solve for x
    x = 355,226,728,081/396,079
  6. Step 6: Final answer
    x = 896,858.27

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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.