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Finding the Third Proportional to 363,908 and 789,976

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Solution

The third proportional to 363,908 and 789,976 is: 1,714,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,908 : 789,976 = 789,976 : x
  2. Step 2: Convert to fraction form
    363,908/789,976 = 789,976/x
  3. Step 3: Cross multiply
    363,908x = 789,976 × 789,976
  4. Step 4: Simplify right side
    363,908x = 624,062,080,576
  5. Step 5: Solve for x
    x = 624,062,080,576/363,908
  6. Step 6: Final answer
    x = 1,714,889.70

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Why These Related Problems?

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