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Finding the Third Proportional to 336,706 and 726,824

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Solution

The third proportional to 336,706 and 726,824 is: 1,568,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,706 : 726,824 = 726,824 : x
  2. Step 2: Convert to fraction form
    336,706/726,824 = 726,824/x
  3. Step 3: Cross multiply
    336,706x = 726,824 × 726,824
  4. Step 4: Simplify right side
    336,706x = 528,273,126,976
  5. Step 5: Solve for x
    x = 528,273,126,976/336,706
  6. Step 6: Final answer
    x = 1,568,944.80

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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.