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Finding the Third Proportional to 366,954 and 548,725

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Solution

The third proportional to 366,954 and 548,725 is: 820,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,954 : 548,725 = 548,725 : x
  2. Step 2: Convert to fraction form
    366,954/548,725 = 548,725/x
  3. Step 3: Cross multiply
    366,954x = 548,725 × 548,725
  4. Step 4: Simplify right side
    366,954x = 301,099,125,625
  5. Step 5: Solve for x
    x = 301,099,125,625/366,954
  6. Step 6: Final answer
    x = 820,536.43

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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.