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Finding the Third Proportional to 206,976 and 453,696

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Solution

The third proportional to 206,976 and 453,696 is: 994,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976 : 453,696 = 453,696 : x
  2. Step 2: Convert to fraction form
    206,976/453,696 = 453,696/x
  3. Step 3: Cross multiply
    206,976x = 453,696 × 453,696
  4. Step 4: Simplify right side
    206,976x = 205,840,060,416
  5. Step 5: Solve for x
    x = 205,840,060,416/206,976
  6. Step 6: Final answer
    x = 994,511.73

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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.