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Finding the Third Proportional to 303,740 and 703,163

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Solution

The third proportional to 303,740 and 703,163 is: 1,627,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,740 : 703,163 = 703,163 : x
  2. Step 2: Convert to fraction form
    303,740/703,163 = 703,163/x
  3. Step 3: Cross multiply
    303,740x = 703,163 × 703,163
  4. Step 4: Simplify right side
    303,740x = 494,438,204,569
  5. Step 5: Solve for x
    x = 494,438,204,569/303,740
  6. Step 6: Final answer
    x = 1,627,833.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.