Finding the Third Proportional to 311,904 and 661,014
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Solution
The third proportional to 311,904 and 661,014 is: 1,400,878.18
Step by Step Solution
- Step 1: Write the proportion equation
311,904 : 661,014 = 661,014 : x - Step 2: Convert to fraction form
311,904/661,014 = 661,014/x - Step 3: Cross multiply
311,904x = 661,014 × 661,014 - Step 4: Simplify right side
311,904x = 436,939,508,196 - Step 5: Solve for x
x = 436,939,508,196/311,904 - Step 6: Final answer
x = 1,400,878.18
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.