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Finding the Third Proportional to 221,885 and 486,006

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Solution

The third proportional to 221,885 and 486,006 is: 1,064,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,885 : 486,006 = 486,006 : x
  2. Step 2: Convert to fraction form
    221,885/486,006 = 486,006/x
  3. Step 3: Cross multiply
    221,885x = 486,006 × 486,006
  4. Step 4: Simplify right side
    221,885x = 236,201,832,036
  5. Step 5: Solve for x
    x = 236,201,832,036/221,885
  6. Step 6: Final answer
    x = 1,064,523.66

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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.