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Finding the Third Proportional to 223,334 and 486,036

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Solution

The third proportional to 223,334 and 486,036 is: 1,057,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,334 : 486,036 = 486,036 : x
  2. Step 2: Convert to fraction form
    223,334/486,036 = 486,036/x
  3. Step 3: Cross multiply
    223,334x = 486,036 × 486,036
  4. Step 4: Simplify right side
    223,334x = 236,230,993,296
  5. Step 5: Solve for x
    x = 236,230,993,296/223,334
  6. Step 6: Final answer
    x = 1,057,747.56

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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.