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Finding the Third Proportional to 219,520 and 479,216

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Solution

The third proportional to 219,520 and 479,216 is: 1,046,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,520 : 479,216 = 479,216 : x
  2. Step 2: Convert to fraction form
    219,520/479,216 = 479,216/x
  3. Step 3: Cross multiply
    219,520x = 479,216 × 479,216
  4. Step 4: Simplify right side
    219,520x = 229,647,974,656
  5. Step 5: Solve for x
    x = 229,647,974,656/219,520
  6. Step 6: Final answer
    x = 1,046,136.91

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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.