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Finding the Third Proportional to 322,496 and 700,204

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Solution

The third proportional to 322,496 and 700,204 is: 1,520,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,496 : 700,204 = 700,204 : x
  2. Step 2: Convert to fraction form
    322,496/700,204 = 700,204/x
  3. Step 3: Cross multiply
    322,496x = 700,204 × 700,204
  4. Step 4: Simplify right side
    322,496x = 490,285,641,616
  5. Step 5: Solve for x
    x = 490,285,641,616/322,496
  6. Step 6: Final answer
    x = 1,520,284.41

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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.