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Finding the Third Proportional to 332,922.66 and 733,709.39

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Solution

The third proportional to 332,922.66 and 733,709.39 is: 1,616,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,922.66 : 733,709.39 = 733,709.39 : x
  2. Step 2: Convert to fraction form
    332,922.66/733,709.39 = 733,709.39/x
  3. Step 3: Cross multiply
    332,922.66x = 733,709.39 × 733,709.39
  4. Step 4: Simplify right side
    332,922.66x = 538,329,469,891.31
  5. Step 5: Solve for x
    x = 538,329,469,891.31/332,922.66
  6. Step 6: Final answer
    x = 1,616,980.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.