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Finding the Third Proportional to 206,996 and 452,736

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Solution

The third proportional to 206,996 and 452,736 is: 990,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996 : 452,736 = 452,736 : x
  2. Step 2: Convert to fraction form
    206,996/452,736 = 452,736/x
  3. Step 3: Cross multiply
    206,996x = 452,736 × 452,736
  4. Step 4: Simplify right side
    206,996x = 204,969,885,696
  5. Step 5: Solve for x
    x = 204,969,885,696/206,996
  6. Step 6: Final answer
    x = 990,211.82

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