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Finding the Third Proportional to 227,274 and 494,338.50

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Solution

The third proportional to 227,274 and 494,338.50 is: 1,075,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,274 : 494,338.50 = 494,338.50 : x
  2. Step 2: Convert to fraction form
    227,274/494,338.50 = 494,338.50/x
  3. Step 3: Cross multiply
    227,274x = 494,338.50 × 494,338.50
  4. Step 4: Simplify right side
    227,274x = 244,370,552,582.25
  5. Step 5: Solve for x
    x = 244,370,552,582.25/227,274
  6. Step 6: Final answer
    x = 1,075,224.41

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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.