Finding the Third Proportional to 231,223 and 504,465
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Solution
The third proportional to 231,223 and 504,465 is: 1,100,603.90
Step by Step Solution
- Step 1: Write the proportion equation
231,223 : 504,465 = 504,465 : x - Step 2: Convert to fraction form
231,223/504,465 = 504,465/x - Step 3: Cross multiply
231,223x = 504,465 × 504,465 - Step 4: Simplify right side
231,223x = 254,484,936,225 - Step 5: Solve for x
x = 254,484,936,225/231,223 - Step 6: Final answer
x = 1,100,603.90
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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.