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Finding the Third Proportional to 332,023.50 and 733,824

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Solution

The third proportional to 332,023.50 and 733,824 is: 1,621,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,023.50 : 733,824 = 733,824 : x
  2. Step 2: Convert to fraction form
    332,023.50/733,824 = 733,824/x
  3. Step 3: Cross multiply
    332,023.50x = 733,824 × 733,824
  4. Step 4: Simplify right side
    332,023.50x = 538,497,662,976
  5. Step 5: Solve for x
    x = 538,497,662,976/332,023.50
  6. Step 6: Final answer
    x = 1,621,866.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.