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Finding the Third Proportional to 205,866 and 446,616

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Solution

The third proportional to 205,866 and 446,616 is: 968,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866 : 446,616 = 446,616 : x
  2. Step 2: Convert to fraction form
    205,866/446,616 = 446,616/x
  3. Step 3: Cross multiply
    205,866x = 446,616 × 446,616
  4. Step 4: Simplify right side
    205,866x = 199,465,851,456
  5. Step 5: Solve for x
    x = 199,465,851,456/205,866
  6. Step 6: Final answer
    x = 968,911.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.