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Finding the Third Proportional to 401,933 and 622,074

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Solution

The third proportional to 401,933 and 622,074 is: 962,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,933 : 622,074 = 622,074 : x
  2. Step 2: Convert to fraction form
    401,933/622,074 = 622,074/x
  3. Step 3: Cross multiply
    401,933x = 622,074 × 622,074
  4. Step 4: Simplify right side
    401,933x = 386,976,061,476
  5. Step 5: Solve for x
    x = 386,976,061,476/401,933
  6. Step 6: Final answer
    x = 962,787.48

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