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Finding the Third Proportional to 331,944 and 477,180

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Solution

The third proportional to 331,944 and 477,180 is: 685,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,944 : 477,180 = 477,180 : x
  2. Step 2: Convert to fraction form
    331,944/477,180 = 477,180/x
  3. Step 3: Cross multiply
    331,944x = 477,180 × 477,180
  4. Step 4: Simplify right side
    331,944x = 227,700,752,400
  5. Step 5: Solve for x
    x = 227,700,752,400/331,944
  6. Step 6: Final answer
    x = 685,961.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.