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Finding the Third Proportional to 283,728 and 428,976

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Solution

The third proportional to 283,728 and 428,976 is: 648,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,728 : 428,976 = 428,976 : x
  2. Step 2: Convert to fraction form
    283,728/428,976 = 428,976/x
  3. Step 3: Cross multiply
    283,728x = 428,976 × 428,976
  4. Step 4: Simplify right side
    283,728x = 184,020,408,576
  5. Step 5: Solve for x
    x = 184,020,408,576/283,728
  6. Step 6: Final answer
    x = 648,580.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.