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Finding the Third Proportional to 336,715 and 726,843

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Solution

The third proportional to 336,715 and 726,843 is: 1,568,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,715 : 726,843 = 726,843 : x
  2. Step 2: Convert to fraction form
    336,715/726,843 = 726,843/x
  3. Step 3: Cross multiply
    336,715x = 726,843 × 726,843
  4. Step 4: Simplify right side
    336,715x = 528,300,746,649
  5. Step 5: Solve for x
    x = 528,300,746,649/336,715
  6. Step 6: Final answer
    x = 1,568,984.89

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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.