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Finding the Third Proportional to 199,553.63 and 421,584.75

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Solution

The third proportional to 199,553.63 and 421,584.75 is: 890,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,553.63 : 421,584.75 = 421,584.75 : x
  2. Step 2: Convert to fraction form
    199,553.63/421,584.75 = 421,584.75/x
  3. Step 3: Cross multiply
    199,553.63x = 421,584.75 × 421,584.75
  4. Step 4: Simplify right side
    199,553.63x = 177,733,701,432.56
  5. Step 5: Solve for x
    x = 177,733,701,432.56/199,553.63
  6. Step 6: Final answer
    x = 890,656.34

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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.