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Finding the Third Proportional to 409,289.50 and 860,995.50

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Solution

The third proportional to 409,289.50 and 860,995.50 is: 1,811,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,289.50 : 860,995.50 = 860,995.50 : x
  2. Step 2: Convert to fraction form
    409,289.50/860,995.50 = 860,995.50/x
  3. Step 3: Cross multiply
    409,289.50x = 860,995.50 × 860,995.50
  4. Step 4: Simplify right side
    409,289.50x = 741,313,251,020.25
  5. Step 5: Solve for x
    x = 741,313,251,020.25/409,289.50
  6. Step 6: Final answer
    x = 1,811,219.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.