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Finding the Third Proportional to 414,580.50 and 899,144.50

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Solution

The third proportional to 414,580.50 and 899,144.50 is: 1,950,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,580.50 : 899,144.50 = 899,144.50 : x
  2. Step 2: Convert to fraction form
    414,580.50/899,144.50 = 899,144.50/x
  3. Step 3: Cross multiply
    414,580.50x = 899,144.50 × 899,144.50
  4. Step 4: Simplify right side
    414,580.50x = 808,460,831,880.25
  5. Step 5: Solve for x
    x = 808,460,831,880.25/414,580.50
  6. Step 6: Final answer
    x = 1,950,069.61

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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.