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Finding the Third Proportional to 396,168 and 596,144

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Solution

The third proportional to 396,168 and 596,144 is: 897,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,168 : 596,144 = 596,144 : x
  2. Step 2: Convert to fraction form
    396,168/596,144 = 596,144/x
  3. Step 3: Cross multiply
    396,168x = 596,144 × 596,144
  4. Step 4: Simplify right side
    396,168x = 355,387,668,736
  5. Step 5: Solve for x
    x = 355,387,668,736/396,168
  6. Step 6: Final answer
    x = 897,063.04

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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.