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Finding the Third Proportional to 335,016 and 729,081

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Solution

The third proportional to 335,016 and 729,081 is: 1,586,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,016 : 729,081 = 729,081 : x
  2. Step 2: Convert to fraction form
    335,016/729,081 = 729,081/x
  3. Step 3: Cross multiply
    335,016x = 729,081 × 729,081
  4. Step 4: Simplify right side
    335,016x = 531,559,104,561
  5. Step 5: Solve for x
    x = 531,559,104,561/335,016
  6. Step 6: Final answer
    x = 1,586,667.81

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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.