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Finding the Third Proportional to 248,096.25 and 543,472.88

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Solution

The third proportional to 248,096.25 and 543,472.88 is: 1,190,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,096.25 : 543,472.88 = 543,472.88 : x
  2. Step 2: Convert to fraction form
    248,096.25/543,472.88 = 543,472.88/x
  3. Step 3: Cross multiply
    248,096.25x = 543,472.88 × 543,472.88
  4. Step 4: Simplify right side
    248,096.25x = 295,362,765,860.77
  5. Step 5: Solve for x
    x = 295,362,765,860.77/248,096.25
  6. Step 6: Final answer
    x = 1,190,516.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.