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Finding the Third Proportional to 197,472 and 427,758

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Solution

The third proportional to 197,472 and 427,758 is: 926,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,472 : 427,758 = 427,758 : x
  2. Step 2: Convert to fraction form
    197,472/427,758 = 427,758/x
  3. Step 3: Cross multiply
    197,472x = 427,758 × 427,758
  4. Step 4: Simplify right side
    197,472x = 182,976,906,564
  5. Step 5: Solve for x
    x = 182,976,906,564/197,472
  6. Step 6: Final answer
    x = 926,596.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.