Finding the Third Proportional to 212,004 and 463,860
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Solution
The third proportional to 212,004 and 463,860 is: 1,014,915.28
Step by Step Solution
- Step 1: Write the proportion equation
212,004 : 463,860 = 463,860 : x - Step 2: Convert to fraction form
212,004/463,860 = 463,860/x - Step 3: Cross multiply
212,004x = 463,860 × 463,860 - Step 4: Simplify right side
212,004x = 215,166,099,600 - Step 5: Solve for x
x = 215,166,099,600/212,004 - Step 6: Final answer
x = 1,014,915.28
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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.