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Finding the Third Proportional to 227,520 and 494,407

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Solution

The third proportional to 227,520 and 494,407 is: 1,074,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,520 : 494,407 = 494,407 : x
  2. Step 2: Convert to fraction form
    227,520/494,407 = 494,407/x
  3. Step 3: Cross multiply
    227,520x = 494,407 × 494,407
  4. Step 4: Simplify right side
    227,520x = 244,438,281,649
  5. Step 5: Solve for x
    x = 244,438,281,649/227,520
  6. Step 6: Final answer
    x = 1,074,359.54

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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.