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Finding the Third Proportional to 396,806 and 596,112

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Solution

The third proportional to 396,806 and 596,112 is: 895,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,806 : 596,112 = 596,112 : x
  2. Step 2: Convert to fraction form
    396,806/596,112 = 596,112/x
  3. Step 3: Cross multiply
    396,806x = 596,112 × 596,112
  4. Step 4: Simplify right side
    396,806x = 355,349,516,544
  5. Step 5: Solve for x
    x = 355,349,516,544/396,806
  6. Step 6: Final answer
    x = 895,524.55

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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.