Finding the Third Proportional to 211,256 and 469,746
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Solution
The third proportional to 211,256 and 469,746 is: 1,044,520.89
Step by Step Solution
- Step 1: Write the proportion equation
211,256 : 469,746 = 469,746 : x - Step 2: Convert to fraction form
211,256/469,746 = 469,746/x - Step 3: Cross multiply
211,256x = 469,746 × 469,746 - Step 4: Simplify right side
211,256x = 220,661,304,516 - Step 5: Solve for x
x = 220,661,304,516/211,256 - Step 6: Final answer
x = 1,044,520.89
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.