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Finding the Third Proportional to 227,522.25 and 494,756.02

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Solution

The third proportional to 227,522.25 and 494,756.02 is: 1,075,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,522.25 : 494,756.02 = 494,756.02 : x
  2. Step 2: Convert to fraction form
    227,522.25/494,756.02 = 494,756.02/x
  3. Step 3: Cross multiply
    227,522.25x = 494,756.02 × 494,756.02
  4. Step 4: Simplify right side
    227,522.25x = 244,783,514,997.13
  5. Step 5: Solve for x
    x = 244,783,514,997.13/227,522.25
  6. Step 6: Final answer
    x = 1,075,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.