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Finding the Third Proportional to 227,947 and 496,029

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Solution

The third proportional to 227,947 and 496,029 is: 1,079,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,947 : 496,029 = 496,029 : x
  2. Step 2: Convert to fraction form
    227,947/496,029 = 496,029/x
  3. Step 3: Cross multiply
    227,947x = 496,029 × 496,029
  4. Step 4: Simplify right side
    227,947x = 246,044,768,841
  5. Step 5: Solve for x
    x = 246,044,768,841/227,947
  6. Step 6: Final answer
    x = 1,079,394.63

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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.