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Finding the Third Proportional to 219,674 and 475,981

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Solution

The third proportional to 219,674 and 475,981 is: 1,031,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,674 : 475,981 = 475,981 : x
  2. Step 2: Convert to fraction form
    219,674/475,981 = 475,981/x
  3. Step 3: Cross multiply
    219,674x = 475,981 × 475,981
  4. Step 4: Simplify right side
    219,674x = 226,557,912,361
  5. Step 5: Solve for x
    x = 226,557,912,361/219,674
  6. Step 6: Final answer
    x = 1,031,336.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.