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Finding the Third Proportional to 275,669.25 and 593,576.25

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Solution

The third proportional to 275,669.25 and 593,576.25 is: 1,278,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,669.25 : 593,576.25 = 593,576.25 : x
  2. Step 2: Convert to fraction form
    275,669.25/593,576.25 = 593,576.25/x
  3. Step 3: Cross multiply
    275,669.25x = 593,576.25 × 593,576.25
  4. Step 4: Simplify right side
    275,669.25x = 352,332,764,564.06
  5. Step 5: Solve for x
    x = 352,332,764,564.06/275,669.25
  6. Step 6: Final answer
    x = 1,278,099.62

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Why These Related Problems?

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