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Finding the Third Proportional to 206,903 and 444,426.50

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Solution

The third proportional to 206,903 and 444,426.50 is: 954,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903 : 444,426.50 = 444,426.50 : x
  2. Step 2: Convert to fraction form
    206,903/444,426.50 = 444,426.50/x
  3. Step 3: Cross multiply
    206,903x = 444,426.50 × 444,426.50
  4. Step 4: Simplify right side
    206,903x = 197,514,913,902.25
  5. Step 5: Solve for x
    x = 197,514,913,902.25/206,903
  6. Step 6: Final answer
    x = 954,625.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.