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Finding the Third Proportional to 226,431 and 479,808

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Solution

The third proportional to 226,431 and 479,808 is: 1,016,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,431 : 479,808 = 479,808 : x
  2. Step 2: Convert to fraction form
    226,431/479,808 = 479,808/x
  3. Step 3: Cross multiply
    226,431x = 479,808 × 479,808
  4. Step 4: Simplify right side
    226,431x = 230,215,716,864
  5. Step 5: Solve for x
    x = 230,215,716,864/226,431
  6. Step 6: Final answer
    x = 1,016,714.66

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Why These Related Problems?

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