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Finding the Third Proportional to 396,487 and 592,999

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Solution

The third proportional to 396,487 and 592,999 is: 886,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,487 : 592,999 = 592,999 : x
  2. Step 2: Convert to fraction form
    396,487/592,999 = 592,999/x
  3. Step 3: Cross multiply
    396,487x = 592,999 × 592,999
  4. Step 4: Simplify right side
    396,487x = 351,647,814,001
  5. Step 5: Solve for x
    x = 351,647,814,001/396,487
  6. Step 6: Final answer
    x = 886,908.81

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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.