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Finding the Third Proportional to 227,250 and 493,812

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Solution

The third proportional to 227,250 and 493,812 is: 1,073,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,250 : 493,812 = 493,812 : x
  2. Step 2: Convert to fraction form
    227,250/493,812 = 493,812/x
  3. Step 3: Cross multiply
    227,250x = 493,812 × 493,812
  4. Step 4: Simplify right side
    227,250x = 243,850,291,344
  5. Step 5: Solve for x
    x = 243,850,291,344/227,250
  6. Step 6: Final answer
    x = 1,073,048.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.