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Finding the Third Proportional to 352,976 and 769,384

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Solution

The third proportional to 352,976 and 769,384 is: 1,677,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,976 : 769,384 = 769,384 : x
  2. Step 2: Convert to fraction form
    352,976/769,384 = 769,384/x
  3. Step 3: Cross multiply
    352,976x = 769,384 × 769,384
  4. Step 4: Simplify right side
    352,976x = 591,951,739,456
  5. Step 5: Solve for x
    x = 591,951,739,456/352,976
  6. Step 6: Final answer
    x = 1,677,031.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.