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Finding the Third Proportional to 298,212 and 443,268

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Solution

The third proportional to 298,212 and 443,268 is: 658,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,212 : 443,268 = 443,268 : x
  2. Step 2: Convert to fraction form
    298,212/443,268 = 443,268/x
  3. Step 3: Cross multiply
    298,212x = 443,268 × 443,268
  4. Step 4: Simplify right side
    298,212x = 196,486,519,824
  5. Step 5: Solve for x
    x = 196,486,519,824/298,212
  6. Step 6: Final answer
    x = 658,882.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.