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Finding the Third Proportional to 206,369 and 451,622

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Solution

The third proportional to 206,369 and 451,622 is: 988,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,369 : 451,622 = 451,622 : x
  2. Step 2: Convert to fraction form
    206,369/451,622 = 451,622/x
  3. Step 3: Cross multiply
    206,369x = 451,622 × 451,622
  4. Step 4: Simplify right side
    206,369x = 203,962,430,884
  5. Step 5: Solve for x
    x = 203,962,430,884/206,369
  6. Step 6: Final answer
    x = 988,338.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.