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Finding the Third Proportional to 219,218 and 328,863

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Solution

The third proportional to 219,218 and 328,863 is: 493,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218 : 328,863 = 328,863 : x
  2. Step 2: Convert to fraction form
    219,218/328,863 = 328,863/x
  3. Step 3: Cross multiply
    219,218x = 328,863 × 328,863
  4. Step 4: Simplify right side
    219,218x = 108,150,872,769
  5. Step 5: Solve for x
    x = 108,150,872,769/219,218
  6. Step 6: Final answer
    x = 493,348.51

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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.