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Finding the Third Proportional to 301,504 and 654,848

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Solution

The third proportional to 301,504 and 654,848 is: 1,422,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,504 : 654,848 = 654,848 : x
  2. Step 2: Convert to fraction form
    301,504/654,848 = 654,848/x
  3. Step 3: Cross multiply
    301,504x = 654,848 × 654,848
  4. Step 4: Simplify right side
    301,504x = 428,825,903,104
  5. Step 5: Solve for x
    x = 428,825,903,104/301,504
  6. Step 6: Final answer
    x = 1,422,289.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.