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Finding the Third Proportional to 354,934 and 769,755

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Solution

The third proportional to 354,934 and 769,755 is: 1,669,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,934 : 769,755 = 769,755 : x
  2. Step 2: Convert to fraction form
    354,934/769,755 = 769,755/x
  3. Step 3: Cross multiply
    354,934x = 769,755 × 769,755
  4. Step 4: Simplify right side
    354,934x = 592,522,760,025
  5. Step 5: Solve for x
    x = 592,522,760,025/354,934
  6. Step 6: Final answer
    x = 1,669,388.56

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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.