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Finding the Third Proportional to 226,431 and 479,835

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Solution

The third proportional to 226,431 and 479,835 is: 1,016,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,431 : 479,835 = 479,835 : x
  2. Step 2: Convert to fraction form
    226,431/479,835 = 479,835/x
  3. Step 3: Cross multiply
    226,431x = 479,835 × 479,835
  4. Step 4: Simplify right side
    226,431x = 230,241,627,225
  5. Step 5: Solve for x
    x = 230,241,627,225/226,431
  6. Step 6: Final answer
    x = 1,016,829.09

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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.