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Finding the Third Proportional to 379,133.06 and 825,217.69

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Solution

The third proportional to 379,133.06 and 825,217.69 is: 1,796,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,133.06 : 825,217.69 = 825,217.69 : x
  2. Step 2: Convert to fraction form
    379,133.06/825,217.69 = 825,217.69/x
  3. Step 3: Cross multiply
    379,133.06x = 825,217.69 × 825,217.69
  4. Step 4: Simplify right side
    379,133.06x = 680,984,231,762.85
  5. Step 5: Solve for x
    x = 680,984,231,762.85/379,133.06
  6. Step 6: Final answer
    x = 1,796,161.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.