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Finding the Third Proportional to 414,753.75 and 847,003.50

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Solution

The third proportional to 414,753.75 and 847,003.50 is: 1,729,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,753.75 : 847,003.50 = 847,003.50 : x
  2. Step 2: Convert to fraction form
    414,753.75/847,003.50 = 847,003.50/x
  3. Step 3: Cross multiply
    414,753.75x = 847,003.50 × 847,003.50
  4. Step 4: Simplify right side
    414,753.75x = 717,414,929,012.25
  5. Step 5: Solve for x
    x = 717,414,929,012.25/414,753.75
  6. Step 6: Final answer
    x = 1,729,737.05

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.