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Finding the Third Proportional to 219,906 and 329,793

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Solution

The third proportional to 219,906 and 329,793 is: 494,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906 : 329,793 = 329,793 : x
  2. Step 2: Convert to fraction form
    219,906/329,793 = 329,793/x
  3. Step 3: Cross multiply
    219,906x = 329,793 × 329,793
  4. Step 4: Simplify right side
    219,906x = 108,763,422,849
  5. Step 5: Solve for x
    x = 108,763,422,849/219,906
  6. Step 6: Final answer
    x = 494,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.