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Finding the Third Proportional to 227,524 and 496,520

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Solution

The third proportional to 227,524 and 496,520 is: 1,083,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,524 : 496,520 = 496,520 : x
  2. Step 2: Convert to fraction form
    227,524/496,520 = 496,520/x
  3. Step 3: Cross multiply
    227,524x = 496,520 × 496,520
  4. Step 4: Simplify right side
    227,524x = 246,532,110,400
  5. Step 5: Solve for x
    x = 246,532,110,400/227,524
  6. Step 6: Final answer
    x = 1,083,543.32

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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.