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Finding the Third Proportional to 227,467 and 496,342

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Solution

The third proportional to 227,467 and 496,342 is: 1,083,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,467 : 496,342 = 496,342 : x
  2. Step 2: Convert to fraction form
    227,467/496,342 = 496,342/x
  3. Step 3: Cross multiply
    227,467x = 496,342 × 496,342
  4. Step 4: Simplify right side
    227,467x = 246,355,380,964
  5. Step 5: Solve for x
    x = 246,355,380,964/227,467
  6. Step 6: Final answer
    x = 1,083,037.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.