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Finding the Third Proportional to 301,022 and 653,866

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Solution

The third proportional to 301,022 and 653,866 is: 1,420,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022 : 653,866 = 653,866 : x
  2. Step 2: Convert to fraction form
    301,022/653,866 = 653,866/x
  3. Step 3: Cross multiply
    301,022x = 653,866 × 653,866
  4. Step 4: Simplify right side
    301,022x = 427,540,745,956
  5. Step 5: Solve for x
    x = 427,540,745,956/301,022
  6. Step 6: Final answer
    x = 1,420,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.