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Finding the Third Proportional to 206,364.38 and 447,078.38

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Solution

The third proportional to 206,364.38 and 447,078.38 is: 968,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364.38 : 447,078.38 = 447,078.38 : x
  2. Step 2: Convert to fraction form
    206,364.38/447,078.38 = 447,078.38/x
  3. Step 3: Cross multiply
    206,364.38x = 447,078.38 × 447,078.38
  4. Step 4: Simplify right side
    206,364.38x = 199,879,073,392.64
  5. Step 5: Solve for x
    x = 199,879,073,392.64/206,364.38
  6. Step 6: Final answer
    x = 968,573.54

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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.