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Finding the Third Proportional to 396,170 and 596,152

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Solution

The third proportional to 396,170 and 596,152 is: 897,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,170 : 596,152 = 596,152 : x
  2. Step 2: Convert to fraction form
    396,170/596,152 = 596,152/x
  3. Step 3: Cross multiply
    396,170x = 596,152 × 596,152
  4. Step 4: Simplify right side
    396,170x = 355,397,207,104
  5. Step 5: Solve for x
    x = 355,397,207,104/396,170
  6. Step 6: Final answer
    x = 897,082.58

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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.