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Finding the Third Proportional to 353,535 and 763,092

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Solution

The third proportional to 353,535 and 763,092 is: 1,647,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,535 : 763,092 = 763,092 : x
  2. Step 2: Convert to fraction form
    353,535/763,092 = 763,092/x
  3. Step 3: Cross multiply
    353,535x = 763,092 × 763,092
  4. Step 4: Simplify right side
    353,535x = 582,309,400,464
  5. Step 5: Solve for x
    x = 582,309,400,464/353,535
  6. Step 6: Final answer
    x = 1,647,105.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.