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Finding the Third Proportional to 202,615 and 440,906

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Solution

The third proportional to 202,615 and 440,906 is: 959,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,615 : 440,906 = 440,906 : x
  2. Step 2: Convert to fraction form
    202,615/440,906 = 440,906/x
  3. Step 3: Cross multiply
    202,615x = 440,906 × 440,906
  4. Step 4: Simplify right side
    202,615x = 194,398,100,836
  5. Step 5: Solve for x
    x = 194,398,100,836/202,615
  6. Step 6: Final answer
    x = 959,445.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.