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Finding the Third Proportional to 226,768 and 494,982

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Solution

The third proportional to 226,768 and 494,982 is: 1,080,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,768 : 494,982 = 494,982 : x
  2. Step 2: Convert to fraction form
    226,768/494,982 = 494,982/x
  3. Step 3: Cross multiply
    226,768x = 494,982 × 494,982
  4. Step 4: Simplify right side
    226,768x = 245,007,180,324
  5. Step 5: Solve for x
    x = 245,007,180,324/226,768
  6. Step 6: Final answer
    x = 1,080,431.01

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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.