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Finding the Third Proportional to 219,048 and 329,544

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Solution

The third proportional to 219,048 and 329,544 is: 495,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,048 : 329,544 = 329,544 : x
  2. Step 2: Convert to fraction form
    219,048/329,544 = 329,544/x
  3. Step 3: Cross multiply
    219,048x = 329,544 × 329,544
  4. Step 4: Simplify right side
    219,048x = 108,599,247,936
  5. Step 5: Solve for x
    x = 108,599,247,936/219,048
  6. Step 6: Final answer
    x = 495,778.31

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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.