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Finding the Third Proportional to 197,898 and 466,682

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Solution

The third proportional to 197,898 and 466,682 is: 1,100,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,898 : 466,682 = 466,682 : x
  2. Step 2: Convert to fraction form
    197,898/466,682 = 466,682/x
  3. Step 3: Cross multiply
    197,898x = 466,682 × 466,682
  4. Step 4: Simplify right side
    197,898x = 217,792,089,124
  5. Step 5: Solve for x
    x = 217,792,089,124/197,898
  6. Step 6: Final answer
    x = 1,100,526.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.