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Finding the Third Proportional to 199,809 and 428,046.75

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Solution

The third proportional to 199,809 and 428,046.75 is: 916,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809 : 428,046.75 = 428,046.75 : x
  2. Step 2: Convert to fraction form
    199,809/428,046.75 = 428,046.75/x
  3. Step 3: Cross multiply
    199,809x = 428,046.75 × 428,046.75
  4. Step 4: Simplify right side
    199,809x = 183,224,020,185.56
  5. Step 5: Solve for x
    x = 183,224,020,185.56/199,809
  6. Step 6: Final answer
    x = 916,995.83

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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.