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Finding the Third Proportional to 335,048 and 729,192

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Solution

The third proportional to 335,048 and 729,192 is: 1,586,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,048 : 729,192 = 729,192 : x
  2. Step 2: Convert to fraction form
    335,048/729,192 = 729,192/x
  3. Step 3: Cross multiply
    335,048x = 729,192 × 729,192
  4. Step 4: Simplify right side
    335,048x = 531,720,972,864
  5. Step 5: Solve for x
    x = 531,720,972,864/335,048
  6. Step 6: Final answer
    x = 1,586,999.39

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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.