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Finding the Third Proportional to 206,904.94 and 446,462.44

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Solution

The third proportional to 206,904.94 and 446,462.44 is: 963,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904.94 : 446,462.44 = 446,462.44 : x
  2. Step 2: Convert to fraction form
    206,904.94/446,462.44 = 446,462.44/x
  3. Step 3: Cross multiply
    206,904.94x = 446,462.44 × 446,462.44
  4. Step 4: Simplify right side
    206,904.94x = 199,328,708,098.44
  5. Step 5: Solve for x
    x = 199,328,708,098.44/206,904.94
  6. Step 6: Final answer
    x = 963,383.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.