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Finding the Third Proportional to 335,100 and 729,174

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Solution

The third proportional to 335,100 and 729,174 is: 1,586,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,100 : 729,174 = 729,174 : x
  2. Step 2: Convert to fraction form
    335,100/729,174 = 729,174/x
  3. Step 3: Cross multiply
    335,100x = 729,174 × 729,174
  4. Step 4: Simplify right side
    335,100x = 531,694,722,276
  5. Step 5: Solve for x
    x = 531,694,722,276/335,100
  6. Step 6: Final answer
    x = 1,586,674.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.