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Finding the Third Proportional to 217,626 and 478,020

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Solution

The third proportional to 217,626 and 478,020 is: 1,049,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,626 : 478,020 = 478,020 : x
  2. Step 2: Convert to fraction form
    217,626/478,020 = 478,020/x
  3. Step 3: Cross multiply
    217,626x = 478,020 × 478,020
  4. Step 4: Simplify right side
    217,626x = 228,503,120,400
  5. Step 5: Solve for x
    x = 228,503,120,400/217,626
  6. Step 6: Final answer
    x = 1,049,980.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.