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Finding the Third Proportional to 407,104 and 622,744

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Solution

The third proportional to 407,104 and 622,744 is: 952,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104 : 622,744 = 622,744 : x
  2. Step 2: Convert to fraction form
    407,104/622,744 = 622,744/x
  3. Step 3: Cross multiply
    407,104x = 622,744 × 622,744
  4. Step 4: Simplify right side
    407,104x = 387,810,089,536
  5. Step 5: Solve for x
    x = 387,810,089,536/407,104
  6. Step 6: Final answer
    x = 952,606.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.