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Finding the Third Proportional to 227,884 and 496,771

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Solution

The third proportional to 227,884 and 496,771 is: 1,082,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,884 : 496,771 = 496,771 : x
  2. Step 2: Convert to fraction form
    227,884/496,771 = 496,771/x
  3. Step 3: Cross multiply
    227,884x = 496,771 × 496,771
  4. Step 4: Simplify right side
    227,884x = 246,781,426,441
  5. Step 5: Solve for x
    x = 246,781,426,441/227,884
  6. Step 6: Final answer
    x = 1,082,925.64

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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.