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Finding the Third Proportional to 396,504 and 864,456

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Solution

The third proportional to 396,504 and 864,456 is: 1,884,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,504 : 864,456 = 864,456 : x
  2. Step 2: Convert to fraction form
    396,504/864,456 = 864,456/x
  3. Step 3: Cross multiply
    396,504x = 864,456 × 864,456
  4. Step 4: Simplify right side
    396,504x = 747,284,175,936
  5. Step 5: Solve for x
    x = 747,284,175,936/396,504
  6. Step 6: Final answer
    x = 1,884,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.