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Finding the Third Proportional to 376,041 and 820,677

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Solution

The third proportional to 376,041 and 820,677 is: 1,791,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,041 : 820,677 = 820,677 : x
  2. Step 2: Convert to fraction form
    376,041/820,677 = 820,677/x
  3. Step 3: Cross multiply
    376,041x = 820,677 × 820,677
  4. Step 4: Simplify right side
    376,041x = 673,510,738,329
  5. Step 5: Solve for x
    x = 673,510,738,329/376,041
  6. Step 6: Final answer
    x = 1,791,056.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.