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Finding the Third Proportional to 267,600 and 414,576

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Solution

The third proportional to 267,600 and 414,576 is: 642,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,600 : 414,576 = 414,576 : x
  2. Step 2: Convert to fraction form
    267,600/414,576 = 414,576/x
  3. Step 3: Cross multiply
    267,600x = 414,576 × 414,576
  4. Step 4: Simplify right side
    267,600x = 171,873,259,776
  5. Step 5: Solve for x
    x = 171,873,259,776/267,600
  6. Step 6: Final answer
    x = 642,276.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.