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Finding the Third Proportional to 332,949 and 733,764

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Solution

The third proportional to 332,949 and 733,764 is: 1,617,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,949 : 733,764 = 733,764 : x
  2. Step 2: Convert to fraction form
    332,949/733,764 = 733,764/x
  3. Step 3: Cross multiply
    332,949x = 733,764 × 733,764
  4. Step 4: Simplify right side
    332,949x = 538,409,607,696
  5. Step 5: Solve for x
    x = 538,409,607,696/332,949
  6. Step 6: Final answer
    x = 1,617,093.33

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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.