Finding the Third Proportional to 208,928 and 493,112
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Solution
The third proportional to 208,928 and 493,112 is: 1,163,843.26
Step by Step Solution
- Step 1: Write the proportion equation
208,928 : 493,112 = 493,112 : x - Step 2: Convert to fraction form
208,928/493,112 = 493,112/x - Step 3: Cross multiply
208,928x = 493,112 × 493,112 - Step 4: Simplify right side
208,928x = 243,159,444,544 - Step 5: Solve for x
x = 243,159,444,544/208,928 - Step 6: Final answer
x = 1,163,843.26
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.