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Finding the Third Proportional to 336,717 and 726,846

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Solution

The third proportional to 336,717 and 726,846 is: 1,568,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,717 : 726,846 = 726,846 : x
  2. Step 2: Convert to fraction form
    336,717/726,846 = 726,846/x
  3. Step 3: Cross multiply
    336,717x = 726,846 × 726,846
  4. Step 4: Simplify right side
    336,717x = 528,305,107,716
  5. Step 5: Solve for x
    x = 528,305,107,716/336,717
  6. Step 6: Final answer
    x = 1,568,988.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.