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Finding the Third Proportional to 335,100 and 728,376

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Solution

The third proportional to 335,100 and 728,376 is: 1,583,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,100 : 728,376 = 728,376 : x
  2. Step 2: Convert to fraction form
    335,100/728,376 = 728,376/x
  3. Step 3: Cross multiply
    335,100x = 728,376 × 728,376
  4. Step 4: Simplify right side
    335,100x = 530,531,597,376
  5. Step 5: Solve for x
    x = 530,531,597,376/335,100
  6. Step 6: Final answer
    x = 1,583,203.81

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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.