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Finding the Third Proportional to 339,762 and 751,938

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Solution

The third proportional to 339,762 and 751,938 is: 1,664,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,762 : 751,938 = 751,938 : x
  2. Step 2: Convert to fraction form
    339,762/751,938 = 751,938/x
  3. Step 3: Cross multiply
    339,762x = 751,938 × 751,938
  4. Step 4: Simplify right side
    339,762x = 565,410,755,844
  5. Step 5: Solve for x
    x = 565,410,755,844/339,762
  6. Step 6: Final answer
    x = 1,664,137.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.