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Finding the Third Proportional to 219,876 and 481,834

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Solution

The third proportional to 219,876 and 481,834 is: 1,055,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,876 : 481,834 = 481,834 : x
  2. Step 2: Convert to fraction form
    219,876/481,834 = 481,834/x
  3. Step 3: Cross multiply
    219,876x = 481,834 × 481,834
  4. Step 4: Simplify right side
    219,876x = 232,164,003,556
  5. Step 5: Solve for x
    x = 232,164,003,556/219,876
  6. Step 6: Final answer
    x = 1,055,886.06

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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.