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Finding the Third Proportional to 274,119.75 and 437,424.75

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Solution

The third proportional to 274,119.75 and 437,424.75 is: 698,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,119.75 : 437,424.75 = 437,424.75 : x
  2. Step 2: Convert to fraction form
    274,119.75/437,424.75 = 437,424.75/x
  3. Step 3: Cross multiply
    274,119.75x = 437,424.75 × 437,424.75
  4. Step 4: Simplify right side
    274,119.75x = 191,340,411,912.56
  5. Step 5: Solve for x
    x = 191,340,411,912.56/274,119.75
  6. Step 6: Final answer
    x = 698,017.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.