Finding the Third Proportional to 380,080 and 826,316
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Solution
The third proportional to 380,080 and 826,316 is: 1,796,458.99
Step by Step Solution
- Step 1: Write the proportion equation
380,080 : 826,316 = 826,316 : x - Step 2: Convert to fraction form
380,080/826,316 = 826,316/x - Step 3: Cross multiply
380,080x = 826,316 × 826,316 - Step 4: Simplify right side
380,080x = 682,798,131,856 - Step 5: Solve for x
x = 682,798,131,856/380,080 - Step 6: Final answer
x = 1,796,458.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.