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Finding the Third Proportional to 401,108 and 601,741

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Solution

The third proportional to 401,108 and 601,741 is: 902,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,108 : 601,741 = 601,741 : x
  2. Step 2: Convert to fraction form
    401,108/601,741 = 601,741/x
  3. Step 3: Cross multiply
    401,108x = 601,741 × 601,741
  4. Step 4: Simplify right side
    401,108x = 362,092,231,081
  5. Step 5: Solve for x
    x = 362,092,231,081/401,108
  6. Step 6: Final answer
    x = 902,730.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.