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Finding the Third Proportional to 402,124 and 622,081

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Solution

The third proportional to 402,124 and 622,081 is: 962,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,124 : 622,081 = 622,081 : x
  2. Step 2: Convert to fraction form
    402,124/622,081 = 622,081/x
  3. Step 3: Cross multiply
    402,124x = 622,081 × 622,081
  4. Step 4: Simplify right side
    402,124x = 386,984,770,561
  5. Step 5: Solve for x
    x = 386,984,770,561/402,124
  6. Step 6: Final answer
    x = 962,351.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.