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Finding the Third Proportional to 379,578 and 568,314

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Solution

The third proportional to 379,578 and 568,314 is: 850,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,578 : 568,314 = 568,314 : x
  2. Step 2: Convert to fraction form
    379,578/568,314 = 568,314/x
  3. Step 3: Cross multiply
    379,578x = 568,314 × 568,314
  4. Step 4: Simplify right side
    379,578x = 322,980,802,596
  5. Step 5: Solve for x
    x = 322,980,802,596/379,578
  6. Step 6: Final answer
    x = 850,894.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.