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Finding the Third Proportional to 324,170.25 and 698,277

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Solution

The third proportional to 324,170.25 and 698,277 is: 1,504,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,170.25 : 698,277 = 698,277 : x
  2. Step 2: Convert to fraction form
    324,170.25/698,277 = 698,277/x
  3. Step 3: Cross multiply
    324,170.25x = 698,277 × 698,277
  4. Step 4: Simplify right side
    324,170.25x = 487,590,768,729
  5. Step 5: Solve for x
    x = 487,590,768,729/324,170.25
  6. Step 6: Final answer
    x = 1,504,119.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.