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Finding the Third Proportional to 420,930 and 641,898

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Solution

The third proportional to 420,930 and 641,898 is: 978,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,930 : 641,898 = 641,898 : x
  2. Step 2: Convert to fraction form
    420,930/641,898 = 641,898/x
  3. Step 3: Cross multiply
    420,930x = 641,898 × 641,898
  4. Step 4: Simplify right side
    420,930x = 412,033,042,404
  5. Step 5: Solve for x
    x = 412,033,042,404/420,930
  6. Step 6: Final answer
    x = 978,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.