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Finding the Third Proportional to 275,757 and 576,766.50

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Solution

The third proportional to 275,757 and 576,766.50 is: 1,206,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,757 : 576,766.50 = 576,766.50 : x
  2. Step 2: Convert to fraction form
    275,757/576,766.50 = 576,766.50/x
  3. Step 3: Cross multiply
    275,757x = 576,766.50 × 576,766.50
  4. Step 4: Simplify right side
    275,757x = 332,659,595,522.25
  5. Step 5: Solve for x
    x = 332,659,595,522.25/275,757
  6. Step 6: Final answer
    x = 1,206,350.50

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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.