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Finding the Third Proportional to 206,879.25 and 443,283

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Solution

The third proportional to 206,879.25 and 443,283 is: 949,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879.25 : 443,283 = 443,283 : x
  2. Step 2: Convert to fraction form
    206,879.25/443,283 = 443,283/x
  3. Step 3: Cross multiply
    206,879.25x = 443,283 × 443,283
  4. Step 4: Simplify right side
    206,879.25x = 196,499,818,089
  5. Step 5: Solve for x
    x = 196,499,818,089/206,879.25
  6. Step 6: Final answer
    x = 949,828.55

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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.