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Finding the Third Proportional to 408,694.50 and 890,955

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Solution

The third proportional to 408,694.50 and 890,955 is: 1,942,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,694.50 : 890,955 = 890,955 : x
  2. Step 2: Convert to fraction form
    408,694.50/890,955 = 890,955/x
  3. Step 3: Cross multiply
    408,694.50x = 890,955 × 890,955
  4. Step 4: Simplify right side
    408,694.50x = 793,800,812,025
  5. Step 5: Solve for x
    x = 793,800,812,025/408,694.50
  6. Step 6: Final answer
    x = 1,942,284.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.