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Finding the Third Proportional to 275,530 and 584,126

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Solution

The third proportional to 275,530 and 584,126 is: 1,238,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,530 : 584,126 = 584,126 : x
  2. Step 2: Convert to fraction form
    275,530/584,126 = 584,126/x
  3. Step 3: Cross multiply
    275,530x = 584,126 × 584,126
  4. Step 4: Simplify right side
    275,530x = 341,203,183,876
  5. Step 5: Solve for x
    x = 341,203,183,876/275,530
  6. Step 6: Final answer
    x = 1,238,352.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.