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Finding the Third Proportional to 334,201.31 and 695,942.44

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Solution

The third proportional to 334,201.31 and 695,942.44 is: 1,449,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,201.31 : 695,942.44 = 695,942.44 : x
  2. Step 2: Convert to fraction form
    334,201.31/695,942.44 = 695,942.44/x
  3. Step 3: Cross multiply
    334,201.31x = 695,942.44 × 695,942.44
  4. Step 4: Simplify right side
    334,201.31x = 484,335,876,313.44
  5. Step 5: Solve for x
    x = 484,335,876,313.44/334,201.31
  6. Step 6: Final answer
    x = 1,449,233.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.