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Finding the Third Proportional to 335,098 and 728,372

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Solution

The third proportional to 335,098 and 728,372 is: 1,583,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,098 : 728,372 = 728,372 : x
  2. Step 2: Convert to fraction form
    335,098/728,372 = 728,372/x
  3. Step 3: Cross multiply
    335,098x = 728,372 × 728,372
  4. Step 4: Simplify right side
    335,098x = 530,525,770,384
  5. Step 5: Solve for x
    x = 530,525,770,384/335,098
  6. Step 6: Final answer
    x = 1,583,195.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.