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Finding the Third Proportional to 197,917 and 466,739

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Solution

The third proportional to 197,917 and 466,739 is: 1,100,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,917 : 466,739 = 466,739 : x
  2. Step 2: Convert to fraction form
    197,917/466,739 = 466,739/x
  3. Step 3: Cross multiply
    197,917x = 466,739 × 466,739
  4. Step 4: Simplify right side
    197,917x = 217,845,294,121
  5. Step 5: Solve for x
    x = 217,845,294,121/197,917
  6. Step 6: Final answer
    x = 1,100,690.16

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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.