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Finding the Third Proportional to 298,108 and 443,110

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Solution

The third proportional to 298,108 and 443,110 is: 658,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,108 : 443,110 = 443,110 : x
  2. Step 2: Convert to fraction form
    298,108/443,110 = 443,110/x
  3. Step 3: Cross multiply
    298,108x = 443,110 × 443,110
  4. Step 4: Simplify right side
    298,108x = 196,346,472,100
  5. Step 5: Solve for x
    x = 196,346,472,100/298,108
  6. Step 6: Final answer
    x = 658,642.08

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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.