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Finding the Third Proportional to 209,884 and 450,872

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Solution

The third proportional to 209,884 and 450,872 is: 968,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884 : 450,872 = 450,872 : x
  2. Step 2: Convert to fraction form
    209,884/450,872 = 450,872/x
  3. Step 3: Cross multiply
    209,884x = 450,872 × 450,872
  4. Step 4: Simplify right side
    209,884x = 203,285,560,384
  5. Step 5: Solve for x
    x = 203,285,560,384/209,884
  6. Step 6: Final answer
    x = 968,561.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.