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Finding the Third Proportional to 203,595 and 438,744.75

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Solution

The third proportional to 203,595 and 438,744.75 is: 945,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,595 : 438,744.75 = 438,744.75 : x
  2. Step 2: Convert to fraction form
    203,595/438,744.75 = 438,744.75/x
  3. Step 3: Cross multiply
    203,595x = 438,744.75 × 438,744.75
  4. Step 4: Simplify right side
    203,595x = 192,496,955,652.56
  5. Step 5: Solve for x
    x = 192,496,955,652.56/203,595
  6. Step 6: Final answer
    x = 945,489.60

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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.