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Finding the Third Proportional to 234,697.50 and 504,771.75

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Solution

The third proportional to 234,697.50 and 504,771.75 is: 1,085,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,697.50 : 504,771.75 = 504,771.75 : x
  2. Step 2: Convert to fraction form
    234,697.50/504,771.75 = 504,771.75/x
  3. Step 3: Cross multiply
    234,697.50x = 504,771.75 × 504,771.75
  4. Step 4: Simplify right side
    234,697.50x = 254,794,519,598.06
  5. Step 5: Solve for x
    x = 254,794,519,598.06/234,697.50
  6. Step 6: Final answer
    x = 1,085,629.46

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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.