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Finding the Third Proportional to 297,224 and 641,104

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Solution

The third proportional to 297,224 and 641,104 is: 1,382,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,224 : 641,104 = 641,104 : x
  2. Step 2: Convert to fraction form
    297,224/641,104 = 641,104/x
  3. Step 3: Cross multiply
    297,224x = 641,104 × 641,104
  4. Step 4: Simplify right side
    297,224x = 411,014,338,816
  5. Step 5: Solve for x
    x = 411,014,338,816/297,224
  6. Step 6: Final answer
    x = 1,382,843.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.