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Finding the Third Proportional to 303,934 and 703,611

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Solution

The third proportional to 303,934 and 703,611 is: 1,628,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,934 : 703,611 = 703,611 : x
  2. Step 2: Convert to fraction form
    303,934/703,611 = 703,611/x
  3. Step 3: Cross multiply
    303,934x = 703,611 × 703,611
  4. Step 4: Simplify right side
    303,934x = 495,068,439,321
  5. Step 5: Solve for x
    x = 495,068,439,321/303,934
  6. Step 6: Final answer
    x = 1,628,868.24

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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.