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Finding the Third Proportional to 197,796 and 435,930

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Solution

The third proportional to 197,796 and 435,930 is: 960,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,796 : 435,930 = 435,930 : x
  2. Step 2: Convert to fraction form
    197,796/435,930 = 435,930/x
  3. Step 3: Cross multiply
    197,796x = 435,930 × 435,930
  4. Step 4: Simplify right side
    197,796x = 190,034,964,900
  5. Step 5: Solve for x
    x = 190,034,964,900/197,796
  6. Step 6: Final answer
    x = 960,762.43

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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.