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Finding the Third Proportional to 336,723 and 739,866

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Solution

The third proportional to 336,723 and 739,866 is: 1,625,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,723 : 739,866 = 739,866 : x
  2. Step 2: Convert to fraction form
    336,723/739,866 = 739,866/x
  3. Step 3: Cross multiply
    336,723x = 739,866 × 739,866
  4. Step 4: Simplify right side
    336,723x = 547,401,697,956
  5. Step 5: Solve for x
    x = 547,401,697,956/336,723
  6. Step 6: Final answer
    x = 1,625,673.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.