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Finding the Third Proportional to 324,776.25 and 467,825.63

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Solution

The third proportional to 324,776.25 and 467,825.63 is: 673,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,776.25 : 467,825.63 = 467,825.63 : x
  2. Step 2: Convert to fraction form
    324,776.25/467,825.63 = 467,825.63/x
  3. Step 3: Cross multiply
    324,776.25x = 467,825.63 × 467,825.63
  4. Step 4: Simplify right side
    324,776.25x = 218,860,815,406.64
  5. Step 5: Solve for x
    x = 218,860,815,406.64/324,776.25
  6. Step 6: Final answer
    x = 673,881.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.