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Finding the Third Proportional to 226,073 and 491,472

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Solution

The third proportional to 226,073 and 491,472 is: 1,068,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,073 : 491,472 = 491,472 : x
  2. Step 2: Convert to fraction form
    226,073/491,472 = 491,472/x
  3. Step 3: Cross multiply
    226,073x = 491,472 × 491,472
  4. Step 4: Simplify right side
    226,073x = 241,544,726,784
  5. Step 5: Solve for x
    x = 241,544,726,784/226,073
  6. Step 6: Final answer
    x = 1,068,436.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.