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Finding the Third Proportional to 333,375.75 and 733,212

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Solution

The third proportional to 333,375.75 and 733,212 is: 1,612,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,375.75 : 733,212 = 733,212 : x
  2. Step 2: Convert to fraction form
    333,375.75/733,212 = 733,212/x
  3. Step 3: Cross multiply
    333,375.75x = 733,212 × 733,212
  4. Step 4: Simplify right side
    333,375.75x = 537,599,836,944
  5. Step 5: Solve for x
    x = 537,599,836,944/333,375.75
  6. Step 6: Final answer
    x = 1,612,594.31

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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.