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Finding the Third Proportional to 321,023.25 and 759,190.22

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Solution

The third proportional to 321,023.25 and 759,190.22 is: 1,795,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,023.25 : 759,190.22 = 759,190.22 : x
  2. Step 2: Convert to fraction form
    321,023.25/759,190.22 = 759,190.22/x
  3. Step 3: Cross multiply
    321,023.25x = 759,190.22 × 759,190.22
  4. Step 4: Simplify right side
    321,023.25x = 576,369,788,245.67
  5. Step 5: Solve for x
    x = 576,369,788,245.67/321,023.25
  6. Step 6: Final answer
    x = 1,795,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.