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Finding the Third Proportional to 275,205.75 and 606,282.75

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Solution

The third proportional to 275,205.75 and 606,282.75 is: 1,335,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205.75 : 606,282.75 = 606,282.75 : x
  2. Step 2: Convert to fraction form
    275,205.75/606,282.75 = 606,282.75/x
  3. Step 3: Cross multiply
    275,205.75x = 606,282.75 × 606,282.75
  4. Step 4: Simplify right side
    275,205.75x = 367,578,772,947.56
  5. Step 5: Solve for x
    x = 367,578,772,947.56/275,205.75
  6. Step 6: Final answer
    x = 1,335,650.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.