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Finding the Third Proportional to 289,245.38 and 622,940.63

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Solution

The third proportional to 289,245.38 and 622,940.63 is: 1,341,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,245.38 : 622,940.63 = 622,940.63 : x
  2. Step 2: Convert to fraction form
    289,245.38/622,940.63 = 622,940.63/x
  3. Step 3: Cross multiply
    289,245.38x = 622,940.63 × 622,940.63
  4. Step 4: Simplify right side
    289,245.38x = 388,055,022,275.39
  5. Step 5: Solve for x
    x = 388,055,022,275.39/289,245.38
  6. Step 6: Final answer
    x = 1,341,611.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.