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Finding the Third Proportional to 244,784 and 366,042

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Solution

The third proportional to 244,784 and 366,042 is: 547,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,784 : 366,042 = 366,042 : x
  2. Step 2: Convert to fraction form
    244,784/366,042 = 366,042/x
  3. Step 3: Cross multiply
    244,784x = 366,042 × 366,042
  4. Step 4: Simplify right side
    244,784x = 133,986,745,764
  5. Step 5: Solve for x
    x = 133,986,745,764/244,784
  6. Step 6: Final answer
    x = 547,367.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.