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Finding the Third Proportional to 275,584.78 and 413,377.17

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Solution

The third proportional to 275,584.78 and 413,377.17 is: 620,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,584.78 : 413,377.17 = 413,377.17 : x
  2. Step 2: Convert to fraction form
    275,584.78/413,377.17 = 413,377.17/x
  3. Step 3: Cross multiply
    275,584.78x = 413,377.17 × 413,377.17
  4. Step 4: Simplify right side
    275,584.78x = 170,880,686,227.37
  5. Step 5: Solve for x
    x = 170,880,686,227.37/275,584.78
  6. Step 6: Final answer
    x = 620,065.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.