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Finding the Third Proportional to 303,950 and 703,647

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Solution

The third proportional to 303,950 and 703,647 is: 1,628,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,950 : 703,647 = 703,647 : x
  2. Step 2: Convert to fraction form
    303,950/703,647 = 703,647/x
  3. Step 3: Cross multiply
    303,950x = 703,647 × 703,647
  4. Step 4: Simplify right side
    303,950x = 495,119,100,609
  5. Step 5: Solve for x
    x = 495,119,100,609/303,950
  6. Step 6: Final answer
    x = 1,628,949.17

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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.