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Finding the Third Proportional to 311,375.11 and 670,505.63

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Solution

The third proportional to 311,375.11 and 670,505.63 is: 1,443,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,375.11 : 670,505.63 = 670,505.63 : x
  2. Step 2: Convert to fraction form
    311,375.11/670,505.63 = 670,505.63/x
  3. Step 3: Cross multiply
    311,375.11x = 670,505.63 × 670,505.63
  4. Step 4: Simplify right side
    311,375.11x = 449,577,793,156.64
  5. Step 5: Solve for x
    x = 449,577,793,156.64/311,375.11
  6. Step 6: Final answer
    x = 1,443,846.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.