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Finding the Third Proportional to 197,264 and 433,816

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Solution

The third proportional to 197,264 and 433,816 is: 954,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,264 : 433,816 = 433,816 : x
  2. Step 2: Convert to fraction form
    197,264/433,816 = 433,816/x
  3. Step 3: Cross multiply
    197,264x = 433,816 × 433,816
  4. Step 4: Simplify right side
    197,264x = 188,196,321,856
  5. Step 5: Solve for x
    x = 188,196,321,856/197,264
  6. Step 6: Final answer
    x = 954,032.78

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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.