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Finding the Third Proportional to 416,634 and 622,212

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Solution

The third proportional to 416,634 and 622,212 is: 929,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,634 : 622,212 = 622,212 : x
  2. Step 2: Convert to fraction form
    416,634/622,212 = 622,212/x
  3. Step 3: Cross multiply
    416,634x = 622,212 × 622,212
  4. Step 4: Simplify right side
    416,634x = 387,147,772,944
  5. Step 5: Solve for x
    x = 387,147,772,944/416,634
  6. Step 6: Final answer
    x = 929,227.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.