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Finding the Third Proportional to 268,936.93 and 585,189.09

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Solution

The third proportional to 268,936.93 and 585,189.09 is: 1,273,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,936.93 : 585,189.09 = 585,189.09 : x
  2. Step 2: Convert to fraction form
    268,936.93/585,189.09 = 585,189.09/x
  3. Step 3: Cross multiply
    268,936.93x = 585,189.09 × 585,189.09
  4. Step 4: Simplify right side
    268,936.93x = 342,446,268,586.28
  5. Step 5: Solve for x
    x = 342,446,268,586.28/268,936.93
  6. Step 6: Final answer
    x = 1,273,333.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.