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Finding the Third Proportional to 311,219 and 440,404

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Solution

The third proportional to 311,219 and 440,404 is: 623,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,219 : 440,404 = 440,404 : x
  2. Step 2: Convert to fraction form
    311,219/440,404 = 440,404/x
  3. Step 3: Cross multiply
    311,219x = 440,404 × 440,404
  4. Step 4: Simplify right side
    311,219x = 193,955,683,216
  5. Step 5: Solve for x
    x = 193,955,683,216/311,219
  6. Step 6: Final answer
    x = 623,212.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.