Finding the Third Proportional to 311,212 and 681,030
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Solution
The third proportional to 311,212 and 681,030 is: 1,490,308.41
Step by Step Solution
- Step 1: Write the proportion equation
311,212 : 681,030 = 681,030 : x - Step 2: Convert to fraction form
311,212/681,030 = 681,030/x - Step 3: Cross multiply
311,212x = 681,030 × 681,030 - Step 4: Simplify right side
311,212x = 463,801,860,900 - Step 5: Solve for x
x = 463,801,860,900/311,212 - Step 6: Final answer
x = 1,490,308.41
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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.