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Finding the Third Proportional to 226,098 and 496,584

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Solution

The third proportional to 226,098 and 496,584 is: 1,090,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098 : 496,584 = 496,584 : x
  2. Step 2: Convert to fraction form
    226,098/496,584 = 496,584/x
  3. Step 3: Cross multiply
    226,098x = 496,584 × 496,584
  4. Step 4: Simplify right side
    226,098x = 246,595,669,056
  5. Step 5: Solve for x
    x = 246,595,669,056/226,098
  6. Step 6: Final answer
    x = 1,090,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.