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Finding the Third Proportional to 707,604.75 and 942,738.75

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Solution

The third proportional to 707,604.75 and 942,738.75 is: 1,256,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,604.75 : 942,738.75 = 942,738.75 : x
  2. Step 2: Convert to fraction form
    707,604.75/942,738.75 = 942,738.75/x
  3. Step 3: Cross multiply
    707,604.75x = 942,738.75 × 942,738.75
  4. Step 4: Simplify right side
    707,604.75x = 888,756,350,751.56
  5. Step 5: Solve for x
    x = 888,756,350,751.56/707,604.75
  6. Step 6: Final answer
    x = 1,256,006.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.