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Finding the Third Proportional to 400,662 and 599,721

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Solution

The third proportional to 400,662 and 599,721 is: 897,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,662 : 599,721 = 599,721 : x
  2. Step 2: Convert to fraction form
    400,662/599,721 = 599,721/x
  3. Step 3: Cross multiply
    400,662x = 599,721 × 599,721
  4. Step 4: Simplify right side
    400,662x = 359,665,277,841
  5. Step 5: Solve for x
    x = 359,665,277,841/400,662
  6. Step 6: Final answer
    x = 897,677.54

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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.