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Finding the Third Proportional to 206,966 and 453,676

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Solution

The third proportional to 206,966 and 453,676 is: 994,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966 : 453,676 = 453,676 : x
  2. Step 2: Convert to fraction form
    206,966/453,676 = 453,676/x
  3. Step 3: Cross multiply
    206,966x = 453,676 × 453,676
  4. Step 4: Simplify right side
    206,966x = 205,821,912,976
  5. Step 5: Solve for x
    x = 205,821,912,976/206,966
  6. Step 6: Final answer
    x = 994,472.10

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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.