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Finding the Third Proportional to 283,979.25 and 605,846.25

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Solution

The third proportional to 283,979.25 and 605,846.25 is: 1,292,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,979.25 : 605,846.25 = 605,846.25 : x
  2. Step 2: Convert to fraction form
    283,979.25/605,846.25 = 605,846.25/x
  3. Step 3: Cross multiply
    283,979.25x = 605,846.25 × 605,846.25
  4. Step 4: Simplify right side
    283,979.25x = 367,049,678,639.06
  5. Step 5: Solve for x
    x = 367,049,678,639.06/283,979.25
  6. Step 6: Final answer
    x = 1,292,522.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.