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Finding the Third Proportional to 227,945 and 494,527

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Solution

The third proportional to 227,945 and 494,527 is: 1,072,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,945 : 494,527 = 494,527 : x
  2. Step 2: Convert to fraction form
    227,945/494,527 = 494,527/x
  3. Step 3: Cross multiply
    227,945x = 494,527 × 494,527
  4. Step 4: Simplify right side
    227,945x = 244,556,953,729
  5. Step 5: Solve for x
    x = 244,556,953,729/227,945
  6. Step 6: Final answer
    x = 1,072,877.03

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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.