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Finding the Third Proportional to 301,914 and 633,204

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Solution

The third proportional to 301,914 and 633,204 is: 1,328,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914 : 633,204 = 633,204 : x
  2. Step 2: Convert to fraction form
    301,914/633,204 = 633,204/x
  3. Step 3: Cross multiply
    301,914x = 633,204 × 633,204
  4. Step 4: Simplify right side
    301,914x = 400,947,305,616
  5. Step 5: Solve for x
    x = 400,947,305,616/301,914
  6. Step 6: Final answer
    x = 1,328,018.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.