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Finding the Third Proportional to 218,876 and 479,276

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Solution

The third proportional to 218,876 and 479,276 is: 1,049,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,876 : 479,276 = 479,276 : x
  2. Step 2: Convert to fraction form
    218,876/479,276 = 479,276/x
  3. Step 3: Cross multiply
    218,876x = 479,276 × 479,276
  4. Step 4: Simplify right side
    218,876x = 229,705,484,176
  5. Step 5: Solve for x
    x = 229,705,484,176/218,876
  6. Step 6: Final answer
    x = 1,049,477.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.