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Finding the Third Proportional to 311,067 and 677,443.50

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Solution

The third proportional to 311,067 and 677,443.50 is: 1,475,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 677,443.50 = 677,443.50 : x
  2. Step 2: Convert to fraction form
    311,067/677,443.50 = 677,443.50/x
  3. Step 3: Cross multiply
    311,067x = 677,443.50 × 677,443.50
  4. Step 4: Simplify right side
    311,067x = 458,929,695,692.25
  5. Step 5: Solve for x
    x = 458,929,695,692.25/311,067
  6. Step 6: Final answer
    x = 1,475,340.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.