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Finding the Third Proportional to 379,310 and 563,198

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Solution

The third proportional to 379,310 and 563,198 is: 836,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,310 : 563,198 = 563,198 : x
  2. Step 2: Convert to fraction form
    379,310/563,198 = 563,198/x
  3. Step 3: Cross multiply
    379,310x = 563,198 × 563,198
  4. Step 4: Simplify right side
    379,310x = 317,191,987,204
  5. Step 5: Solve for x
    x = 317,191,987,204/379,310
  6. Step 6: Final answer
    x = 836,234.18

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.