Finding the Third Proportional to 221,466 and 472,460
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Solution
The third proportional to 221,466 and 472,460 is: 1,007,912.96
Step by Step Solution
- Step 1: Write the proportion equation
221,466 : 472,460 = 472,460 : x - Step 2: Convert to fraction form
221,466/472,460 = 472,460/x - Step 3: Cross multiply
221,466x = 472,460 × 472,460 - Step 4: Simplify right side
221,466x = 223,218,451,600 - Step 5: Solve for x
x = 223,218,451,600/221,466 - Step 6: Final answer
x = 1,007,912.96
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.