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Finding the Third Proportional to 203,781 and 449,034

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Solution

The third proportional to 203,781 and 449,034 is: 989,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781 : 449,034 = 449,034 : x
  2. Step 2: Convert to fraction form
    203,781/449,034 = 449,034/x
  3. Step 3: Cross multiply
    203,781x = 449,034 × 449,034
  4. Step 4: Simplify right side
    203,781x = 201,631,533,156
  5. Step 5: Solve for x
    x = 201,631,533,156/203,781
  6. Step 6: Final answer
    x = 989,452.07

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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.