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Finding the Third Proportional to 220,928 and 472,816

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Solution

The third proportional to 220,928 and 472,816 is: 1,011,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,928 : 472,816 = 472,816 : x
  2. Step 2: Convert to fraction form
    220,928/472,816 = 472,816/x
  3. Step 3: Cross multiply
    220,928x = 472,816 × 472,816
  4. Step 4: Simplify right side
    220,928x = 223,554,969,856
  5. Step 5: Solve for x
    x = 223,554,969,856/220,928
  6. Step 6: Final answer
    x = 1,011,890.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.