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Finding the Third Proportional to 199,200 and 428,608

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Solution

The third proportional to 199,200 and 428,608 is: 922,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,200 : 428,608 = 428,608 : x
  2. Step 2: Convert to fraction form
    199,200/428,608 = 428,608/x
  3. Step 3: Cross multiply
    199,200x = 428,608 × 428,608
  4. Step 4: Simplify right side
    199,200x = 183,704,817,664
  5. Step 5: Solve for x
    x = 183,704,817,664/199,200
  6. Step 6: Final answer
    x = 922,212.94

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