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Finding the Third Proportional to 336,702 and 726,816

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Solution

The third proportional to 336,702 and 726,816 is: 1,568,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,702 : 726,816 = 726,816 : x
  2. Step 2: Convert to fraction form
    336,702/726,816 = 726,816/x
  3. Step 3: Cross multiply
    336,702x = 726,816 × 726,816
  4. Step 4: Simplify right side
    336,702x = 528,261,497,856
  5. Step 5: Solve for x
    x = 528,261,497,856/336,702
  6. Step 6: Final answer
    x = 1,568,928.90

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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.