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Finding the Third Proportional to 490,074.75 and 770,145.75

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Solution

The third proportional to 490,074.75 and 770,145.75 is: 1,210,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,074.75 : 770,145.75 = 770,145.75 : x
  2. Step 2: Convert to fraction form
    490,074.75/770,145.75 = 770,145.75/x
  3. Step 3: Cross multiply
    490,074.75x = 770,145.75 × 770,145.75
  4. Step 4: Simplify right side
    490,074.75x = 593,124,476,243.06
  5. Step 5: Solve for x
    x = 593,124,476,243.06/490,074.75
  6. Step 6: Final answer
    x = 1,210,273.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.