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Finding the Third Proportional to 407,456.88 and 885,033.25

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Solution

The third proportional to 407,456.88 and 885,033.25 is: 1,922,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,456.88 : 885,033.25 = 885,033.25 : x
  2. Step 2: Convert to fraction form
    407,456.88/885,033.25 = 885,033.25/x
  3. Step 3: Cross multiply
    407,456.88x = 885,033.25 × 885,033.25
  4. Step 4: Simplify right side
    407,456.88x = 783,283,853,605.56
  5. Step 5: Solve for x
    x = 783,283,853,605.56/407,456.88
  6. Step 6: Final answer
    x = 1,922,372.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.