Finding the Third Proportional to 212,672 and 463,980
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Solution
The third proportional to 212,672 and 463,980 is: 1,012,250.98
Step by Step Solution
- Step 1: Write the proportion equation
212,672 : 463,980 = 463,980 : x - Step 2: Convert to fraction form
212,672/463,980 = 463,980/x - Step 3: Cross multiply
212,672x = 463,980 × 463,980 - Step 4: Simplify right side
212,672x = 215,277,440,400 - Step 5: Solve for x
x = 215,277,440,400/212,672 - Step 6: Final answer
x = 1,012,250.98
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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.