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Finding the Third Proportional to 197,538 and 437,790

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Solution

The third proportional to 197,538 and 437,790 is: 970,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,538 : 437,790 = 437,790 : x
  2. Step 2: Convert to fraction form
    197,538/437,790 = 437,790/x
  3. Step 3: Cross multiply
    197,538x = 437,790 × 437,790
  4. Step 4: Simplify right side
    197,538x = 191,660,084,100
  5. Step 5: Solve for x
    x = 191,660,084,100/197,538
  6. Step 6: Final answer
    x = 970,244.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.