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Finding the Third Proportional to 263,405.25 and 566,757

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Solution

The third proportional to 263,405.25 and 566,757 is: 1,219,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,405.25 : 566,757 = 566,757 : x
  2. Step 2: Convert to fraction form
    263,405.25/566,757 = 566,757/x
  3. Step 3: Cross multiply
    263,405.25x = 566,757 × 566,757
  4. Step 4: Simplify right side
    263,405.25x = 321,213,497,049
  5. Step 5: Solve for x
    x = 321,213,497,049/263,405.25
  6. Step 6: Final answer
    x = 1,219,465.05

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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.