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Finding the Third Proportional to 223,400 and 486,116

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Solution

The third proportional to 223,400 and 486,116 is: 1,057,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,400 : 486,116 = 486,116 : x
  2. Step 2: Convert to fraction form
    223,400/486,116 = 486,116/x
  3. Step 3: Cross multiply
    223,400x = 486,116 × 486,116
  4. Step 4: Simplify right side
    223,400x = 236,308,765,456
  5. Step 5: Solve for x
    x = 236,308,765,456/223,400
  6. Step 6: Final answer
    x = 1,057,783.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.