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Finding the Third Proportional to 270,859.50 and 362,364.75

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Solution

The third proportional to 270,859.50 and 362,364.75 is: 484,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,859.50 : 362,364.75 = 362,364.75 : x
  2. Step 2: Convert to fraction form
    270,859.50/362,364.75 = 362,364.75/x
  3. Step 3: Cross multiply
    270,859.50x = 362,364.75 × 362,364.75
  4. Step 4: Simplify right side
    270,859.50x = 131,308,212,042.56
  5. Step 5: Solve for x
    x = 131,308,212,042.56/270,859.50
  6. Step 6: Final answer
    x = 484,783.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.