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Finding the Third Proportional to 218,678 and 473,626

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Solution

The third proportional to 218,678 and 473,626 is: 1,025,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,678 : 473,626 = 473,626 : x
  2. Step 2: Convert to fraction form
    218,678/473,626 = 473,626/x
  3. Step 3: Cross multiply
    218,678x = 473,626 × 473,626
  4. Step 4: Simplify right side
    218,678x = 224,321,587,876
  5. Step 5: Solve for x
    x = 224,321,587,876/218,678
  6. Step 6: Final answer
    x = 1,025,807.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.