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Finding the Third Proportional to 267,804 and 414,672

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Solution

The third proportional to 267,804 and 414,672 is: 642,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,804 : 414,672 = 414,672 : x
  2. Step 2: Convert to fraction form
    267,804/414,672 = 414,672/x
  3. Step 3: Cross multiply
    267,804x = 414,672 × 414,672
  4. Step 4: Simplify right side
    267,804x = 171,952,867,584
  5. Step 5: Solve for x
    x = 171,952,867,584/267,804
  6. Step 6: Final answer
    x = 642,084.76

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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.