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Finding the Third Proportional to 207,652 and 454,616

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Solution

The third proportional to 207,652 and 454,616 is: 995,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,652 : 454,616 = 454,616 : x
  2. Step 2: Convert to fraction form
    207,652/454,616 = 454,616/x
  3. Step 3: Cross multiply
    207,652x = 454,616 × 454,616
  4. Step 4: Simplify right side
    207,652x = 206,675,707,456
  5. Step 5: Solve for x
    x = 206,675,707,456/207,652
  6. Step 6: Final answer
    x = 995,298.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.