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Finding the Third Proportional to 197,085 and 446,785

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Solution

The third proportional to 197,085 and 446,785 is: 1,012,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,085 : 446,785 = 446,785 : x
  2. Step 2: Convert to fraction form
    197,085/446,785 = 446,785/x
  3. Step 3: Cross multiply
    197,085x = 446,785 × 446,785
  4. Step 4: Simplify right side
    197,085x = 199,616,836,225
  5. Step 5: Solve for x
    x = 199,616,836,225/197,085
  6. Step 6: Final answer
    x = 1,012,846.42

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.