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Finding the Third Proportional to 226,328 and 493,236

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Solution

The third proportional to 226,328 and 493,236 is: 1,074,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,328 : 493,236 = 493,236 : x
  2. Step 2: Convert to fraction form
    226,328/493,236 = 493,236/x
  3. Step 3: Cross multiply
    226,328x = 493,236 × 493,236
  4. Step 4: Simplify right side
    226,328x = 243,281,751,696
  5. Step 5: Solve for x
    x = 243,281,751,696/226,328
  6. Step 6: Final answer
    x = 1,074,907.88

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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.