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Finding the Third Proportional to 275,377.50 and 370,593

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Solution

The third proportional to 275,377.50 and 370,593 is: 498,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,377.50 : 370,593 = 370,593 : x
  2. Step 2: Convert to fraction form
    275,377.50/370,593 = 370,593/x
  3. Step 3: Cross multiply
    275,377.50x = 370,593 × 370,593
  4. Step 4: Simplify right side
    275,377.50x = 137,339,171,649
  5. Step 5: Solve for x
    x = 137,339,171,649/275,377.50
  6. Step 6: Final answer
    x = 498,730.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.