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Finding the Third Proportional to 393,842.25 and 949,522.50

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Solution

The third proportional to 393,842.25 and 949,522.50 is: 2,289,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,842.25 : 949,522.50 = 949,522.50 : x
  2. Step 2: Convert to fraction form
    393,842.25/949,522.50 = 949,522.50/x
  3. Step 3: Cross multiply
    393,842.25x = 949,522.50 × 949,522.50
  4. Step 4: Simplify right side
    393,842.25x = 901,592,978,006.25
  5. Step 5: Solve for x
    x = 901,592,978,006.25/393,842.25
  6. Step 6: Final answer
    x = 2,289,223.61

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.