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Finding the Third Proportional to 220,333.50 and 481,734

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Solution

The third proportional to 220,333.50 and 481,734 is: 1,053,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,333.50 : 481,734 = 481,734 : x
  2. Step 2: Convert to fraction form
    220,333.50/481,734 = 481,734/x
  3. Step 3: Cross multiply
    220,333.50x = 481,734 × 481,734
  4. Step 4: Simplify right side
    220,333.50x = 232,067,646,756
  5. Step 5: Solve for x
    x = 232,067,646,756/220,333.50
  6. Step 6: Final answer
    x = 1,053,256.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.