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Finding the Third Proportional to 204,879 and 447,114

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Solution

The third proportional to 204,879 and 447,114 is: 975,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,879 : 447,114 = 447,114 : x
  2. Step 2: Convert to fraction form
    204,879/447,114 = 447,114/x
  3. Step 3: Cross multiply
    204,879x = 447,114 × 447,114
  4. Step 4: Simplify right side
    204,879x = 199,910,928,996
  5. Step 5: Solve for x
    x = 199,910,928,996/204,879
  6. Step 6: Final answer
    x = 975,751.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.