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Finding the Third Proportional to 206,905 and 443,330

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Solution

The third proportional to 206,905 and 443,330 is: 949,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,905 : 443,330 = 443,330 : x
  2. Step 2: Convert to fraction form
    206,905/443,330 = 443,330/x
  3. Step 3: Cross multiply
    206,905x = 443,330 × 443,330
  4. Step 4: Simplify right side
    206,905x = 196,541,488,900
  5. Step 5: Solve for x
    x = 196,541,488,900/206,905
  6. Step 6: Final answer
    x = 949,911.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.