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Finding the Third Proportional to 202,884 and 447,252

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Solution

The third proportional to 202,884 and 447,252 is: 985,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,884 : 447,252 = 447,252 : x
  2. Step 2: Convert to fraction form
    202,884/447,252 = 447,252/x
  3. Step 3: Cross multiply
    202,884x = 447,252 × 447,252
  4. Step 4: Simplify right side
    202,884x = 200,034,351,504
  5. Step 5: Solve for x
    x = 200,034,351,504/202,884
  6. Step 6: Final answer
    x = 985,954.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.