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Finding the Third Proportional to 226,104 and 496,596

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Solution

The third proportional to 226,104 and 496,596 is: 1,090,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,104 : 496,596 = 496,596 : x
  2. Step 2: Convert to fraction form
    226,104/496,596 = 496,596/x
  3. Step 3: Cross multiply
    226,104x = 496,596 × 496,596
  4. Step 4: Simplify right side
    226,104x = 246,607,587,216
  5. Step 5: Solve for x
    x = 246,607,587,216/226,104
  6. Step 6: Final answer
    x = 1,090,682.11

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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.