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Finding the Third Proportional to 227,714 and 494,803

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Solution

The third proportional to 227,714 and 494,803 is: 1,075,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,714 : 494,803 = 494,803 : x
  2. Step 2: Convert to fraction form
    227,714/494,803 = 494,803/x
  3. Step 3: Cross multiply
    227,714x = 494,803 × 494,803
  4. Step 4: Simplify right side
    227,714x = 244,830,008,809
  5. Step 5: Solve for x
    x = 244,830,008,809/227,714
  6. Step 6: Final answer
    x = 1,075,164.50

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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.