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Finding the Third Proportional to 363,910 and 789,980

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Solution

The third proportional to 363,910 and 789,980 is: 1,714,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,910 : 789,980 = 789,980 : x
  2. Step 2: Convert to fraction form
    363,910/789,980 = 789,980/x
  3. Step 3: Cross multiply
    363,910x = 789,980 × 789,980
  4. Step 4: Simplify right side
    363,910x = 624,068,400,400
  5. Step 5: Solve for x
    x = 624,068,400,400/363,910
  6. Step 6: Final answer
    x = 1,714,897.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.