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Finding the Third Proportional to 350,106.75 and 713,049.75

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Solution

The third proportional to 350,106.75 and 713,049.75 is: 1,452,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,106.75 : 713,049.75 = 713,049.75 : x
  2. Step 2: Convert to fraction form
    350,106.75/713,049.75 = 713,049.75/x
  3. Step 3: Cross multiply
    350,106.75x = 713,049.75 × 713,049.75
  4. Step 4: Simplify right side
    350,106.75x = 508,439,945,975.06
  5. Step 5: Solve for x
    x = 508,439,945,975.06/350,106.75
  6. Step 6: Final answer
    x = 1,452,242.63

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.