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Finding the Third Proportional to 206,905 and 443,338

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Solution

The third proportional to 206,905 and 443,338 is: 949,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,905 : 443,338 = 443,338 : x
  2. Step 2: Convert to fraction form
    206,905/443,338 = 443,338/x
  3. Step 3: Cross multiply
    206,905x = 443,338 × 443,338
  4. Step 4: Simplify right side
    206,905x = 196,548,582,244
  5. Step 5: Solve for x
    x = 196,548,582,244/206,905
  6. Step 6: Final answer
    x = 949,946.02

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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.