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Finding the Third Proportional to 227,519 and 495,170

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Solution

The third proportional to 227,519 and 495,170 is: 1,077,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519 : 495,170 = 495,170 : x
  2. Step 2: Convert to fraction form
    227,519/495,170 = 495,170/x
  3. Step 3: Cross multiply
    227,519x = 495,170 × 495,170
  4. Step 4: Simplify right side
    227,519x = 245,193,328,900
  5. Step 5: Solve for x
    x = 245,193,328,900/227,519
  6. Step 6: Final answer
    x = 1,077,682.87

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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.