Finding the Third Proportional to 216,504 and 472,356
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Solution
The third proportional to 216,504 and 472,356 is: 1,030,559.21
Step by Step Solution
- Step 1: Write the proportion equation
216,504 : 472,356 = 472,356 : x - Step 2: Convert to fraction form
216,504/472,356 = 472,356/x - Step 3: Cross multiply
216,504x = 472,356 × 472,356 - Step 4: Simplify right side
216,504x = 223,120,190,736 - Step 5: Solve for x
x = 223,120,190,736/216,504 - Step 6: Final answer
x = 1,030,559.21
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.