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Finding the Third Proportional to 226,946 and 530,093

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Solution

The third proportional to 226,946 and 530,093 is: 1,238,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,946 : 530,093 = 530,093 : x
  2. Step 2: Convert to fraction form
    226,946/530,093 = 530,093/x
  3. Step 3: Cross multiply
    226,946x = 530,093 × 530,093
  4. Step 4: Simplify right side
    226,946x = 280,998,588,649
  5. Step 5: Solve for x
    x = 280,998,588,649/226,946
  6. Step 6: Final answer
    x = 1,238,173.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.