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Finding the Third Proportional to 289,944.56 and 622,801.41

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Solution

The third proportional to 289,944.56 and 622,801.41 is: 1,337,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,944.56 : 622,801.41 = 622,801.41 : x
  2. Step 2: Convert to fraction form
    289,944.56/622,801.41 = 622,801.41/x
  3. Step 3: Cross multiply
    289,944.56x = 622,801.41 × 622,801.41
  4. Step 4: Simplify right side
    289,944.56x = 387,881,591,626.98
  5. Step 5: Solve for x
    x = 387,881,591,626.98/289,944.56
  6. Step 6: Final answer
    x = 1,337,778.46

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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.