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Finding the Third Proportional to 241,727.63 and 512,268.75

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Solution

The third proportional to 241,727.63 and 512,268.75 is: 1,085,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,727.63 : 512,268.75 = 512,268.75 : x
  2. Step 2: Convert to fraction form
    241,727.63/512,268.75 = 512,268.75/x
  3. Step 3: Cross multiply
    241,727.63x = 512,268.75 × 512,268.75
  4. Step 4: Simplify right side
    241,727.63x = 262,419,272,226.56
  5. Step 5: Solve for x
    x = 262,419,272,226.56/241,727.63
  6. Step 6: Final answer
    x = 1,085,599.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.