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Finding the Third Proportional to 222,543 and 494,841

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Solution

The third proportional to 222,543 and 494,841 is: 1,100,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,543 : 494,841 = 494,841 : x
  2. Step 2: Convert to fraction form
    222,543/494,841 = 494,841/x
  3. Step 3: Cross multiply
    222,543x = 494,841 × 494,841
  4. Step 4: Simplify right side
    222,543x = 244,867,615,281
  5. Step 5: Solve for x
    x = 244,867,615,281/222,543
  6. Step 6: Final answer
    x = 1,100,315.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.