Finding the Third Proportional to 490,170 and 770,247
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Solution
The third proportional to 490,170 and 770,247 is: 1,210,356.49
Step by Step Solution
- Step 1: Write the proportion equation
490,170 : 770,247 = 770,247 : x - Step 2: Convert to fraction form
490,170/770,247 = 770,247/x - Step 3: Cross multiply
490,170x = 770,247 × 770,247 - Step 4: Simplify right side
490,170x = 593,280,441,009 - Step 5: Solve for x
x = 593,280,441,009/490,170 - Step 6: Final answer
x = 1,210,356.49
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.