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Finding the Third Proportional to 311,104 and 664,855

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Solution

The third proportional to 311,104 and 664,855 is: 1,420,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,104 : 664,855 = 664,855 : x
  2. Step 2: Convert to fraction form
    311,104/664,855 = 664,855/x
  3. Step 3: Cross multiply
    311,104x = 664,855 × 664,855
  4. Step 4: Simplify right side
    311,104x = 442,032,171,025
  5. Step 5: Solve for x
    x = 442,032,171,025/311,104
  6. Step 6: Final answer
    x = 1,420,850.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.