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Finding the Third Proportional to 396,904 and 599,002

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Solution

The third proportional to 396,904 and 599,002 is: 904,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,904 : 599,002 = 599,002 : x
  2. Step 2: Convert to fraction form
    396,904/599,002 = 599,002/x
  3. Step 3: Cross multiply
    396,904x = 599,002 × 599,002
  4. Step 4: Simplify right side
    396,904x = 358,803,396,004
  5. Step 5: Solve for x
    x = 358,803,396,004/396,904
  6. Step 6: Final answer
    x = 904,005.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.