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Finding the Third Proportional to 227,568 and 495,249

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Solution

The third proportional to 227,568 and 495,249 is: 1,077,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,568 : 495,249 = 495,249 : x
  2. Step 2: Convert to fraction form
    227,568/495,249 = 495,249/x
  3. Step 3: Cross multiply
    227,568x = 495,249 × 495,249
  4. Step 4: Simplify right side
    227,568x = 245,271,572,001
  5. Step 5: Solve for x
    x = 245,271,572,001/227,568
  6. Step 6: Final answer
    x = 1,077,794.65

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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.