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Finding the Third Proportional to 267,647.63 and 394,076.81

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Solution

The third proportional to 267,647.63 and 394,076.81 is: 580,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.63 : 394,076.81 = 394,076.81 : x
  2. Step 2: Convert to fraction form
    267,647.63/394,076.81 = 394,076.81/x
  3. Step 3: Cross multiply
    267,647.63x = 394,076.81 × 394,076.81
  4. Step 4: Simplify right side
    267,647.63x = 155,296,534,150.16
  5. Step 5: Solve for x
    x = 155,296,534,150.16/267,647.63
  6. Step 6: Final answer
    x = 580,227.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.