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Finding the Third Proportional to 335,168 and 722,824

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Solution

The third proportional to 335,168 and 722,824 is: 1,558,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,168 : 722,824 = 722,824 : x
  2. Step 2: Convert to fraction form
    335,168/722,824 = 722,824/x
  3. Step 3: Cross multiply
    335,168x = 722,824 × 722,824
  4. Step 4: Simplify right side
    335,168x = 522,474,534,976
  5. Step 5: Solve for x
    x = 522,474,534,976/335,168
  6. Step 6: Final answer
    x = 1,558,843.73

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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.