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Finding the Third Proportional to 274,954.50 and 576,190.13

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Solution

The third proportional to 274,954.50 and 576,190.13 is: 1,207,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,954.50 : 576,190.13 = 576,190.13 : x
  2. Step 2: Convert to fraction form
    274,954.50/576,190.13 = 576,190.13/x
  3. Step 3: Cross multiply
    274,954.50x = 576,190.13 × 576,190.13
  4. Step 4: Simplify right side
    274,954.50x = 331,995,060,147.52
  5. Step 5: Solve for x
    x = 331,995,060,147.52/274,954.50
  6. Step 6: Final answer
    x = 1,207,454.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.