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Finding the Third Proportional to 219,664 and 479,612

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Solution

The third proportional to 219,664 and 479,612 is: 1,047,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,664 : 479,612 = 479,612 : x
  2. Step 2: Convert to fraction form
    219,664/479,612 = 479,612/x
  3. Step 3: Cross multiply
    219,664x = 479,612 × 479,612
  4. Step 4: Simplify right side
    219,664x = 230,027,670,544
  5. Step 5: Solve for x
    x = 230,027,670,544/219,664
  6. Step 6: Final answer
    x = 1,047,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.