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Finding the Third Proportional to 303,757 and 703,204

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Solution

The third proportional to 303,757 and 703,204 is: 1,627,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,757 : 703,204 = 703,204 : x
  2. Step 2: Convert to fraction form
    303,757/703,204 = 703,204/x
  3. Step 3: Cross multiply
    303,757x = 703,204 × 703,204
  4. Step 4: Simplify right side
    303,757x = 494,495,865,616
  5. Step 5: Solve for x
    x = 494,495,865,616/303,757
  6. Step 6: Final answer
    x = 1,627,932.41

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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.