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Finding the Third Proportional to 197,288 and 441,424

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Solution

The third proportional to 197,288 and 441,424 is: 987,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288 : 441,424 = 441,424 : x
  2. Step 2: Convert to fraction form
    197,288/441,424 = 441,424/x
  3. Step 3: Cross multiply
    197,288x = 441,424 × 441,424
  4. Step 4: Simplify right side
    197,288x = 194,855,147,776
  5. Step 5: Solve for x
    x = 194,855,147,776/197,288
  6. Step 6: Final answer
    x = 987,668.52

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.