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Finding the Third Proportional to 356,616 and 769,407

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Solution

The third proportional to 356,616 and 769,407 is: 1,660,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,616 : 769,407 = 769,407 : x
  2. Step 2: Convert to fraction form
    356,616/769,407 = 769,407/x
  3. Step 3: Cross multiply
    356,616x = 769,407 × 769,407
  4. Step 4: Simplify right side
    356,616x = 591,987,131,649
  5. Step 5: Solve for x
    x = 591,987,131,649/356,616
  6. Step 6: Final answer
    x = 1,660,012.82

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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.