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Finding the Third Proportional to 356,842 and 769,388

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Solution

The third proportional to 356,842 and 769,388 is: 1,658,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,842 : 769,388 = 769,388 : x
  2. Step 2: Convert to fraction form
    356,842/769,388 = 769,388/x
  3. Step 3: Cross multiply
    356,842x = 769,388 × 769,388
  4. Step 4: Simplify right side
    356,842x = 591,957,894,544
  5. Step 5: Solve for x
    x = 591,957,894,544/356,842
  6. Step 6: Final answer
    x = 1,658,879.54

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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.