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Finding the Third Proportional to 226,793 and 492,226

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Solution

The third proportional to 226,793 and 492,226 is: 1,068,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,793 : 492,226 = 492,226 : x
  2. Step 2: Convert to fraction form
    226,793/492,226 = 492,226/x
  3. Step 3: Cross multiply
    226,793x = 492,226 × 492,226
  4. Step 4: Simplify right side
    226,793x = 242,286,435,076
  5. Step 5: Solve for x
    x = 242,286,435,076/226,793
  6. Step 6: Final answer
    x = 1,068,315.31

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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.