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Finding the Third Proportional to 414,383.50 and 623,118.50

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Solution

The third proportional to 414,383.50 and 623,118.50 is: 936,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,383.50 : 623,118.50 = 623,118.50 : x
  2. Step 2: Convert to fraction form
    414,383.50/623,118.50 = 623,118.50/x
  3. Step 3: Cross multiply
    414,383.50x = 623,118.50 × 623,118.50
  4. Step 4: Simplify right side
    414,383.50x = 388,276,665,042.25
  5. Step 5: Solve for x
    x = 388,276,665,042.25/414,383.50
  6. Step 6: Final answer
    x = 936,998.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.