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Finding the Third Proportional to 281,362 and 664,189

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Solution

The third proportional to 281,362 and 664,189 is: 1,567,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,362 : 664,189 = 664,189 : x
  2. Step 2: Convert to fraction form
    281,362/664,189 = 664,189/x
  3. Step 3: Cross multiply
    281,362x = 664,189 × 664,189
  4. Step 4: Simplify right side
    281,362x = 441,147,027,721
  5. Step 5: Solve for x
    x = 441,147,027,721/281,362
  6. Step 6: Final answer
    x = 1,567,898.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.