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Finding the Third Proportional to 275,986.75 and 411,064

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Solution

The third proportional to 275,986.75 and 411,064 is: 612,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,986.75 : 411,064 = 411,064 : x
  2. Step 2: Convert to fraction form
    275,986.75/411,064 = 411,064/x
  3. Step 3: Cross multiply
    275,986.75x = 411,064 × 411,064
  4. Step 4: Simplify right side
    275,986.75x = 168,973,612,096
  5. Step 5: Solve for x
    x = 168,973,612,096/275,986.75
  6. Step 6: Final answer
    x = 612,252.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.