Finding the Third Proportional to 211,038 and 461,244
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Solution
The third proportional to 211,038 and 461,244 is: 1,008,093.46
Step by Step Solution
- Step 1: Write the proportion equation
211,038 : 461,244 = 461,244 : x - Step 2: Convert to fraction form
211,038/461,244 = 461,244/x - Step 3: Cross multiply
211,038x = 461,244 × 461,244 - Step 4: Simplify right side
211,038x = 212,746,027,536 - Step 5: Solve for x
x = 212,746,027,536/211,038 - Step 6: Final answer
x = 1,008,093.46
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.