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Finding the Third Proportional to 332,568 and 729,515

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Solution

The third proportional to 332,568 and 729,515 is: 1,600,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,568 : 729,515 = 729,515 : x
  2. Step 2: Convert to fraction form
    332,568/729,515 = 729,515/x
  3. Step 3: Cross multiply
    332,568x = 729,515 × 729,515
  4. Step 4: Simplify right side
    332,568x = 532,192,135,225
  5. Step 5: Solve for x
    x = 532,192,135,225/332,568
  6. Step 6: Final answer
    x = 1,600,250.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.