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Finding the Third Proportional to 366,969 and 548,742

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Solution

The third proportional to 366,969 and 548,742 is: 820,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,969 : 548,742 = 548,742 : x
  2. Step 2: Convert to fraction form
    366,969/548,742 = 548,742/x
  3. Step 3: Cross multiply
    366,969x = 548,742 × 548,742
  4. Step 4: Simplify right side
    366,969x = 301,117,782,564
  5. Step 5: Solve for x
    x = 301,117,782,564/366,969
  6. Step 6: Final answer
    x = 820,553.73

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