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Finding the Third Proportional to 202,876 and 440,743

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Solution

The third proportional to 202,876 and 440,743 is: 957,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876 : 440,743 = 440,743 : x
  2. Step 2: Convert to fraction form
    202,876/440,743 = 440,743/x
  3. Step 3: Cross multiply
    202,876x = 440,743 × 440,743
  4. Step 4: Simplify right side
    202,876x = 194,254,392,049
  5. Step 5: Solve for x
    x = 194,254,392,049/202,876
  6. Step 6: Final answer
    x = 957,503.07

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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.