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Finding the Third Proportional to 260,068.22 and 408,072.09

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Solution

The third proportional to 260,068.22 and 408,072.09 is: 640,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,068.22 : 408,072.09 = 408,072.09 : x
  2. Step 2: Convert to fraction form
    260,068.22/408,072.09 = 408,072.09/x
  3. Step 3: Cross multiply
    260,068.22x = 408,072.09 × 408,072.09
  4. Step 4: Simplify right side
    260,068.22x = 166,522,833,697.51
  5. Step 5: Solve for x
    x = 166,522,833,697.51/260,068.22
  6. Step 6: Final answer
    x = 640,304.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.