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Finding the Third Proportional to 311,108.25 and 664,862.50

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Solution

The third proportional to 311,108.25 and 664,862.50 is: 1,420,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,108.25 : 664,862.50 = 664,862.50 : x
  2. Step 2: Convert to fraction form
    311,108.25/664,862.50 = 664,862.50/x
  3. Step 3: Cross multiply
    311,108.25x = 664,862.50 × 664,862.50
  4. Step 4: Simplify right side
    311,108.25x = 442,042,143,906.25
  5. Step 5: Solve for x
    x = 442,042,143,906.25/311,108.25
  6. Step 6: Final answer
    x = 1,420,862.82

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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.