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Finding the Third Proportional to 336,708 and 726,828

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Solution

The third proportional to 336,708 and 726,828 is: 1,568,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,708 : 726,828 = 726,828 : x
  2. Step 2: Convert to fraction form
    336,708/726,828 = 726,828/x
  3. Step 3: Cross multiply
    336,708x = 726,828 × 726,828
  4. Step 4: Simplify right side
    336,708x = 528,278,941,584
  5. Step 5: Solve for x
    x = 528,278,941,584/336,708
  6. Step 6: Final answer
    x = 1,568,952.75

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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.