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Finding the Third Proportional to 219,217 and 328,824

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Solution

The third proportional to 219,217 and 328,824 is: 493,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,217 : 328,824 = 328,824 : x
  2. Step 2: Convert to fraction form
    219,217/328,824 = 328,824/x
  3. Step 3: Cross multiply
    219,217x = 328,824 × 328,824
  4. Step 4: Simplify right side
    219,217x = 108,125,222,976
  5. Step 5: Solve for x
    x = 108,125,222,976/219,217
  6. Step 6: Final answer
    x = 493,233.75

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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.