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Finding the Third Proportional to 311,288 and 468,188

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Solution

The third proportional to 311,288 and 468,188 is: 704,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,288 : 468,188 = 468,188 : x
  2. Step 2: Convert to fraction form
    311,288/468,188 = 468,188/x
  3. Step 3: Cross multiply
    311,288x = 468,188 × 468,188
  4. Step 4: Simplify right side
    311,288x = 219,200,003,344
  5. Step 5: Solve for x
    x = 219,200,003,344/311,288
  6. Step 6: Final answer
    x = 704,171.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.