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Finding the Third Proportional to 311,113.50 and 664,872

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Solution

The third proportional to 311,113.50 and 664,872 is: 1,420,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,113.50 : 664,872 = 664,872 : x
  2. Step 2: Convert to fraction form
    311,113.50/664,872 = 664,872/x
  3. Step 3: Cross multiply
    311,113.50x = 664,872 × 664,872
  4. Step 4: Simplify right side
    311,113.50x = 442,054,776,384
  5. Step 5: Solve for x
    x = 442,054,776,384/311,113.50
  6. Step 6: Final answer
    x = 1,420,879.44

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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.