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Finding the Third Proportional to 206,489.25 and 436,306.50

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Solution

The third proportional to 206,489.25 and 436,306.50 is: 921,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,489.25 : 436,306.50 = 436,306.50 : x
  2. Step 2: Convert to fraction form
    206,489.25/436,306.50 = 436,306.50/x
  3. Step 3: Cross multiply
    206,489.25x = 436,306.50 × 436,306.50
  4. Step 4: Simplify right side
    206,489.25x = 190,363,361,942.25
  5. Step 5: Solve for x
    x = 190,363,361,942.25/206,489.25
  6. Step 6: Final answer
    x = 921,904.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.