Finding the Third Proportional to 212,504 and 462,392
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Solution
The third proportional to 212,504 and 462,392 is: 1,006,128.65
Step by Step Solution
- Step 1: Write the proportion equation
212,504 : 462,392 = 462,392 : x - Step 2: Convert to fraction form
212,504/462,392 = 462,392/x - Step 3: Cross multiply
212,504x = 462,392 × 462,392 - Step 4: Simplify right side
212,504x = 213,806,361,664 - Step 5: Solve for x
x = 213,806,361,664/212,504 - Step 6: Final answer
x = 1,006,128.65
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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.