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Finding the Third Proportional to 226,784 and 496,568

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Solution

The third proportional to 226,784 and 496,568 is: 1,087,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,784 : 496,568 = 496,568 : x
  2. Step 2: Convert to fraction form
    226,784/496,568 = 496,568/x
  3. Step 3: Cross multiply
    226,784x = 496,568 × 496,568
  4. Step 4: Simplify right side
    226,784x = 246,579,778,624
  5. Step 5: Solve for x
    x = 246,579,778,624/226,784
  6. Step 6: Final answer
    x = 1,087,289.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.