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Finding the Third Proportional to 222,264 and 486,684

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Solution

The third proportional to 222,264 and 486,684 is: 1,065,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,264 : 486,684 = 486,684 : x
  2. Step 2: Convert to fraction form
    222,264/486,684 = 486,684/x
  3. Step 3: Cross multiply
    222,264x = 486,684 × 486,684
  4. Step 4: Simplify right side
    222,264x = 236,861,315,856
  5. Step 5: Solve for x
    x = 236,861,315,856/222,264
  6. Step 6: Final answer
    x = 1,065,675.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.