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Finding the Third Proportional to 275,725.69 and 576,701.44

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Solution

The third proportional to 275,725.69 and 576,701.44 is: 1,206,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,725.69 : 576,701.44 = 576,701.44 : x
  2. Step 2: Convert to fraction form
    275,725.69/576,701.44 = 576,701.44/x
  3. Step 3: Cross multiply
    275,725.69x = 576,701.44 × 576,701.44
  4. Step 4: Simplify right side
    275,725.69x = 332,584,548,014.57
  5. Step 5: Solve for x
    x = 332,584,548,014.57/275,725.69
  6. Step 6: Final answer
    x = 1,206,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.