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Finding the Third Proportional to 403,519.50 and 885,405

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Solution

The third proportional to 403,519.50 and 885,405 is: 1,942,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,519.50 : 885,405 = 885,405 : x
  2. Step 2: Convert to fraction form
    403,519.50/885,405 = 885,405/x
  3. Step 3: Cross multiply
    403,519.50x = 885,405 × 885,405
  4. Step 4: Simplify right side
    403,519.50x = 783,942,014,025
  5. Step 5: Solve for x
    x = 783,942,014,025/403,519.50
  6. Step 6: Final answer
    x = 1,942,761.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.