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Finding the Third Proportional to 311,939.44 and 638,629.31

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Solution

The third proportional to 311,939.44 and 638,629.31 is: 1,307,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,939.44 : 638,629.31 = 638,629.31 : x
  2. Step 2: Convert to fraction form
    311,939.44/638,629.31 = 638,629.31/x
  3. Step 3: Cross multiply
    311,939.44x = 638,629.31 × 638,629.31
  4. Step 4: Simplify right side
    311,939.44x = 407,847,398,784.22
  5. Step 5: Solve for x
    x = 407,847,398,784.22/311,939.44
  6. Step 6: Final answer
    x = 1,307,456.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.