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Finding the Third Proportional to 197,561 and 426,713

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Solution

The third proportional to 197,561 and 426,713 is: 921,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,561 : 426,713 = 426,713 : x
  2. Step 2: Convert to fraction form
    197,561/426,713 = 426,713/x
  3. Step 3: Cross multiply
    197,561x = 426,713 × 426,713
  4. Step 4: Simplify right side
    197,561x = 182,083,984,369
  5. Step 5: Solve for x
    x = 182,083,984,369/197,561
  6. Step 6: Final answer
    x = 921,659.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.