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Finding the Third Proportional to 225,200 and 494,688

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Solution

The third proportional to 225,200 and 494,688 is: 1,086,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,200 : 494,688 = 494,688 : x
  2. Step 2: Convert to fraction form
    225,200/494,688 = 494,688/x
  3. Step 3: Cross multiply
    225,200x = 494,688 × 494,688
  4. Step 4: Simplify right side
    225,200x = 244,716,217,344
  5. Step 5: Solve for x
    x = 244,716,217,344/225,200
  6. Step 6: Final answer
    x = 1,086,661.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.