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Finding the Third Proportional to 223,504 and 487,162

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Solution

The third proportional to 223,504 and 487,162 is: 1,061,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,504 : 487,162 = 487,162 : x
  2. Step 2: Convert to fraction form
    223,504/487,162 = 487,162/x
  3. Step 3: Cross multiply
    223,504x = 487,162 × 487,162
  4. Step 4: Simplify right side
    223,504x = 237,326,814,244
  5. Step 5: Solve for x
    x = 237,326,814,244/223,504
  6. Step 6: Final answer
    x = 1,061,845.94

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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.