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Finding the Third Proportional to 207,504 and 422,616

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Solution

The third proportional to 207,504 and 422,616 is: 860,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,504 : 422,616 = 422,616 : x
  2. Step 2: Convert to fraction form
    207,504/422,616 = 422,616/x
  3. Step 3: Cross multiply
    207,504x = 422,616 × 422,616
  4. Step 4: Simplify right side
    207,504x = 178,604,283,456
  5. Step 5: Solve for x
    x = 178,604,283,456/207,504
  6. Step 6: Final answer
    x = 860,726.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.