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Finding the Third Proportional to 678,730.50 and 1,340,325

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Solution

The third proportional to 678,730.50 and 1,340,325 is: 2,646,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,730.50 : 1,340,325 = 1,340,325 : x
  2. Step 2: Convert to fraction form
    678,730.50/1,340,325 = 1,340,325/x
  3. Step 3: Cross multiply
    678,730.50x = 1,340,325 × 1,340,325
  4. Step 4: Simplify right side
    678,730.50x = 1,796,471,105,625
  5. Step 5: Solve for x
    x = 1,796,471,105,625/678,730.50
  6. Step 6: Final answer
    x = 2,646,810.63

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.