Finding the Third Proportional to 263,312 and 408,460
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Solution
The third proportional to 263,312 and 408,460 is: 633,619.32
Step by Step Solution
- Step 1: Write the proportion equation
263,312 : 408,460 = 408,460 : x - Step 2: Convert to fraction form
263,312/408,460 = 408,460/x - Step 3: Cross multiply
263,312x = 408,460 × 408,460 - Step 4: Simplify right side
263,312x = 166,839,571,600 - Step 5: Solve for x
x = 166,839,571,600/263,312 - Step 6: Final answer
x = 633,619.32
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.