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Finding the Third Proportional to 217,276.17 and 470,728.97

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Solution

The third proportional to 217,276.17 and 470,728.97 is: 1,019,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,276.17 : 470,728.97 = 470,728.97 : x
  2. Step 2: Convert to fraction form
    217,276.17/470,728.97 = 470,728.97/x
  3. Step 3: Cross multiply
    217,276.17x = 470,728.97 × 470,728.97
  4. Step 4: Simplify right side
    217,276.17x = 221,585,762,020.44
  5. Step 5: Solve for x
    x = 221,585,762,020.44/217,276.17
  6. Step 6: Final answer
    x = 1,019,834.62

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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.