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Finding the Third Proportional to 217,630 and 479,396

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Solution

The third proportional to 217,630 and 479,396 is: 1,056,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,630 : 479,396 = 479,396 : x
  2. Step 2: Convert to fraction form
    217,630/479,396 = 479,396/x
  3. Step 3: Cross multiply
    217,630x = 479,396 × 479,396
  4. Step 4: Simplify right side
    217,630x = 229,820,524,816
  5. Step 5: Solve for x
    x = 229,820,524,816/217,630
  6. Step 6: Final answer
    x = 1,056,014.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.