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Finding the Third Proportional to 199,793.25 and 428,017.50

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Solution

The third proportional to 199,793.25 and 428,017.50 is: 916,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793.25 : 428,017.50 = 428,017.50 : x
  2. Step 2: Convert to fraction form
    199,793.25/428,017.50 = 428,017.50/x
  3. Step 3: Cross multiply
    199,793.25x = 428,017.50 × 428,017.50
  4. Step 4: Simplify right side
    199,793.25x = 183,198,980,306.25
  5. Step 5: Solve for x
    x = 183,198,980,306.25/199,793.25
  6. Step 6: Final answer
    x = 916,942.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.