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Finding the Third Proportional to 223,629.75 and 479,214

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Solution

The third proportional to 223,629.75 and 479,214 is: 1,026,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,629.75 : 479,214 = 479,214 : x
  2. Step 2: Convert to fraction form
    223,629.75/479,214 = 479,214/x
  3. Step 3: Cross multiply
    223,629.75x = 479,214 × 479,214
  4. Step 4: Simplify right side
    223,629.75x = 229,646,057,796
  5. Step 5: Solve for x
    x = 229,646,057,796/223,629.75
  6. Step 6: Final answer
    x = 1,026,902.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.