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Finding the Third Proportional to 331,776 and 446,976

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Solution

The third proportional to 331,776 and 446,976 is: 602,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,776 : 446,976 = 446,976 : x
  2. Step 2: Convert to fraction form
    331,776/446,976 = 446,976/x
  3. Step 3: Cross multiply
    331,776x = 446,976 × 446,976
  4. Step 4: Simplify right side
    331,776x = 199,787,544,576
  5. Step 5: Solve for x
    x = 199,787,544,576/331,776
  6. Step 6: Final answer
    x = 602,176

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.