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Finding the Third Proportional to 227,712 and 327,984

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Solution

The third proportional to 227,712 and 327,984 is: 472,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,712 : 327,984 = 327,984 : x
  2. Step 2: Convert to fraction form
    227,712/327,984 = 327,984/x
  3. Step 3: Cross multiply
    227,712x = 327,984 × 327,984
  4. Step 4: Simplify right side
    227,712x = 107,573,504,256
  5. Step 5: Solve for x
    x = 107,573,504,256/227,712
  6. Step 6: Final answer
    x = 472,410.34

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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.