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Finding the Third Proportional to 275,529 and 584,124

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Solution

The third proportional to 275,529 and 584,124 is: 1,238,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,529 : 584,124 = 584,124 : x
  2. Step 2: Convert to fraction form
    275,529/584,124 = 584,124/x
  3. Step 3: Cross multiply
    275,529x = 584,124 × 584,124
  4. Step 4: Simplify right side
    275,529x = 341,200,847,376
  5. Step 5: Solve for x
    x = 341,200,847,376/275,529
  6. Step 6: Final answer
    x = 1,238,348.22

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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.