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Finding the Third Proportional to 311,290 and 468,191

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Solution

The third proportional to 311,290 and 468,191 is: 704,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,290 : 468,191 = 468,191 : x
  2. Step 2: Convert to fraction form
    311,290/468,191 = 468,191/x
  3. Step 3: Cross multiply
    311,290x = 468,191 × 468,191
  4. Step 4: Simplify right side
    311,290x = 219,202,812,481
  5. Step 5: Solve for x
    x = 219,202,812,481/311,290
  6. Step 6: Final answer
    x = 704,175.57

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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.