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Finding the Third Proportional to 299,955 and 421,865.25

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Solution

The third proportional to 299,955 and 421,865.25 is: 593,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,955 : 421,865.25 = 421,865.25 : x
  2. Step 2: Convert to fraction form
    299,955/421,865.25 = 421,865.25/x
  3. Step 3: Cross multiply
    299,955x = 421,865.25 × 421,865.25
  4. Step 4: Simplify right side
    299,955x = 177,970,289,157.56
  5. Step 5: Solve for x
    x = 177,970,289,157.56/299,955
  6. Step 6: Final answer
    x = 593,323.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.