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Finding the Third Proportional to 275,199.75 and 557,793.75

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Solution

The third proportional to 275,199.75 and 557,793.75 is: 1,130,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,199.75 : 557,793.75 = 557,793.75 : x
  2. Step 2: Convert to fraction form
    275,199.75/557,793.75 = 557,793.75/x
  3. Step 3: Cross multiply
    275,199.75x = 557,793.75 × 557,793.75
  4. Step 4: Simplify right side
    275,199.75x = 311,133,867,539.06
  5. Step 5: Solve for x
    x = 311,133,867,539.06/275,199.75
  6. Step 6: Final answer
    x = 1,130,574.67

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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.