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Finding the Third Proportional to 399,910 and 635,990

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Solution

The third proportional to 399,910 and 635,990 is: 1,011,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,910 : 635,990 = 635,990 : x
  2. Step 2: Convert to fraction form
    399,910/635,990 = 635,990/x
  3. Step 3: Cross multiply
    399,910x = 635,990 × 635,990
  4. Step 4: Simplify right side
    399,910x = 404,483,280,100
  5. Step 5: Solve for x
    x = 404,483,280,100/399,910
  6. Step 6: Final answer
    x = 1,011,435.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.