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Finding the Third Proportional to 220,608 and 462,816

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Solution

The third proportional to 220,608 and 462,816 is: 970,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,608 : 462,816 = 462,816 : x
  2. Step 2: Convert to fraction form
    220,608/462,816 = 462,816/x
  3. Step 3: Cross multiply
    220,608x = 462,816 × 462,816
  4. Step 4: Simplify right side
    220,608x = 214,198,649,856
  5. Step 5: Solve for x
    x = 214,198,649,856/220,608
  6. Step 6: Final answer
    x = 970,946.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.