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Finding the Third Proportional to 396,917 and 596,270

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Solution

The third proportional to 396,917 and 596,270 is: 895,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,917 : 596,270 = 596,270 : x
  2. Step 2: Convert to fraction form
    396,917/596,270 = 596,270/x
  3. Step 3: Cross multiply
    396,917x = 596,270 × 596,270
  4. Step 4: Simplify right side
    396,917x = 355,537,912,900
  5. Step 5: Solve for x
    x = 355,537,912,900/396,917
  6. Step 6: Final answer
    x = 895,748.77

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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.