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Finding the Third Proportional to 303,676 and 703,022

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Solution

The third proportional to 303,676 and 703,022 is: 1,627,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,676 : 703,022 = 703,022 : x
  2. Step 2: Convert to fraction form
    303,676/703,022 = 703,022/x
  3. Step 3: Cross multiply
    303,676x = 703,022 × 703,022
  4. Step 4: Simplify right side
    303,676x = 494,239,932,484
  5. Step 5: Solve for x
    x = 494,239,932,484/303,676
  6. Step 6: Final answer
    x = 1,627,523.85

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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.