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Finding the Third Proportional to 414,042 and 612,040.50

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Solution

The third proportional to 414,042 and 612,040.50 is: 904,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,042 : 612,040.50 = 612,040.50 : x
  2. Step 2: Convert to fraction form
    414,042/612,040.50 = 612,040.50/x
  3. Step 3: Cross multiply
    414,042x = 612,040.50 × 612,040.50
  4. Step 4: Simplify right side
    414,042x = 374,593,573,640.25
  5. Step 5: Solve for x
    x = 374,593,573,640.25/414,042
  6. Step 6: Final answer
    x = 904,723.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.