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Finding the Third Proportional to 221,884 and 486,004

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Solution

The third proportional to 221,884 and 486,004 is: 1,064,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,884 : 486,004 = 486,004 : x
  2. Step 2: Convert to fraction form
    221,884/486,004 = 486,004/x
  3. Step 3: Cross multiply
    221,884x = 486,004 × 486,004
  4. Step 4: Simplify right side
    221,884x = 236,199,888,016
  5. Step 5: Solve for x
    x = 236,199,888,016/221,884
  6. Step 6: Final answer
    x = 1,064,519.70

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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.