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Finding the Third Proportional to 348,759 and 729,060.75

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Solution

The third proportional to 348,759 and 729,060.75 is: 1,524,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,759 : 729,060.75 = 729,060.75 : x
  2. Step 2: Convert to fraction form
    348,759/729,060.75 = 729,060.75/x
  3. Step 3: Cross multiply
    348,759x = 729,060.75 × 729,060.75
  4. Step 4: Simplify right side
    348,759x = 531,529,577,190.56
  5. Step 5: Solve for x
    x = 531,529,577,190.56/348,759
  6. Step 6: Final answer
    x = 1,524,059.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.