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Finding the Third Proportional to 335,009 and 729,062

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Solution

The third proportional to 335,009 and 729,062 is: 1,586,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,009 : 729,062 = 729,062 : x
  2. Step 2: Convert to fraction form
    335,009/729,062 = 729,062/x
  3. Step 3: Cross multiply
    335,009x = 729,062 × 729,062
  4. Step 4: Simplify right side
    335,009x = 531,531,399,844
  5. Step 5: Solve for x
    x = 531,531,399,844/335,009
  6. Step 6: Final answer
    x = 1,586,618.27

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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.