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Finding the Third Proportional to 227,152 and 494,075

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Solution

The third proportional to 227,152 and 494,075 is: 1,074,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,152 : 494,075 = 494,075 : x
  2. Step 2: Convert to fraction form
    227,152/494,075 = 494,075/x
  3. Step 3: Cross multiply
    227,152x = 494,075 × 494,075
  4. Step 4: Simplify right side
    227,152x = 244,110,105,625
  5. Step 5: Solve for x
    x = 244,110,105,625/227,152
  6. Step 6: Final answer
    x = 1,074,655.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.