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Finding the Third Proportional to 335,800 and 725,728

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Solution

The third proportional to 335,800 and 725,728 is: 1,568,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,800 : 725,728 = 725,728 : x
  2. Step 2: Convert to fraction form
    335,800/725,728 = 725,728/x
  3. Step 3: Cross multiply
    335,800x = 725,728 × 725,728
  4. Step 4: Simplify right side
    335,800x = 526,681,129,984
  5. Step 5: Solve for x
    x = 526,681,129,984/335,800
  6. Step 6: Final answer
    x = 1,568,436.96

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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.