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Finding the Third Proportional to 227,376 and 494,568

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Solution

The third proportional to 227,376 and 494,568 is: 1,075,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,376 : 494,568 = 494,568 : x
  2. Step 2: Convert to fraction form
    227,376/494,568 = 494,568/x
  3. Step 3: Cross multiply
    227,376x = 494,568 × 494,568
  4. Step 4: Simplify right side
    227,376x = 244,597,506,624
  5. Step 5: Solve for x
    x = 244,597,506,624/227,376
  6. Step 6: Final answer
    x = 1,075,740.21

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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.