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Finding the Third Proportional to 376,016 and 770,372

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Solution

The third proportional to 376,016 and 770,372 is: 1,578,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,016 : 770,372 = 770,372 : x
  2. Step 2: Convert to fraction form
    376,016/770,372 = 770,372/x
  3. Step 3: Cross multiply
    376,016x = 770,372 × 770,372
  4. Step 4: Simplify right side
    376,016x = 593,473,018,384
  5. Step 5: Solve for x
    x = 593,473,018,384/376,016
  6. Step 6: Final answer
    x = 1,578,318.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.