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Finding the Third Proportional to 275,245.50 and 558,271.50

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Solution

The third proportional to 275,245.50 and 558,271.50 is: 1,132,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,245.50 : 558,271.50 = 558,271.50 : x
  2. Step 2: Convert to fraction form
    275,245.50/558,271.50 = 558,271.50/x
  3. Step 3: Cross multiply
    275,245.50x = 558,271.50 × 558,271.50
  4. Step 4: Simplify right side
    275,245.50x = 311,667,067,712.25
  5. Step 5: Solve for x
    x = 311,667,067,712.25/275,245.50
  6. Step 6: Final answer
    x = 1,132,323.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.