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Finding the Third Proportional to 206,835.19 and 446,905.69

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Solution

The third proportional to 206,835.19 and 446,905.69 is: 965,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.19 : 446,905.69 = 446,905.69 : x
  2. Step 2: Convert to fraction form
    206,835.19/446,905.69 = 446,905.69/x
  3. Step 3: Cross multiply
    206,835.19x = 446,905.69 × 446,905.69
  4. Step 4: Simplify right side
    206,835.19x = 199,724,693,519.85
  5. Step 5: Solve for x
    x = 199,724,693,519.85/206,835.19
  6. Step 6: Final answer
    x = 965,622.42

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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.