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Finding the Third Proportional to 366,873 and 548,622

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Solution

The third proportional to 366,873 and 548,622 is: 820,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,873 : 548,622 = 548,622 : x
  2. Step 2: Convert to fraction form
    366,873/548,622 = 548,622/x
  3. Step 3: Cross multiply
    366,873x = 548,622 × 548,622
  4. Step 4: Simplify right side
    366,873x = 300,986,098,884
  5. Step 5: Solve for x
    x = 300,986,098,884/366,873
  6. Step 6: Final answer
    x = 820,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.