Finding the Third Proportional to 221,474 and 472,476
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Solution
The third proportional to 221,474 and 472,476 is: 1,007,944.82
Step by Step Solution
- Step 1: Write the proportion equation
221,474 : 472,476 = 472,476 : x - Step 2: Convert to fraction form
221,474/472,476 = 472,476/x - Step 3: Cross multiply
221,474x = 472,476 × 472,476 - Step 4: Simplify right side
221,474x = 223,233,570,576 - Step 5: Solve for x
x = 223,233,570,576/221,474 - Step 6: Final answer
x = 1,007,944.82
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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.