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Finding the Third Proportional to 401,720 and 622,012

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Solution

The third proportional to 401,720 and 622,012 is: 963,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,720 : 622,012 = 622,012 : x
  2. Step 2: Convert to fraction form
    401,720/622,012 = 622,012/x
  3. Step 3: Cross multiply
    401,720x = 622,012 × 622,012
  4. Step 4: Simplify right side
    401,720x = 386,898,928,144
  5. Step 5: Solve for x
    x = 386,898,928,144/401,720
  6. Step 6: Final answer
    x = 963,105.96

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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.