Finding the Third Proportional to 382,024 and 809,576
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Solution
The third proportional to 382,024 and 809,576 is: 1,715,633.83
Step by Step Solution
- Step 1: Write the proportion equation
382,024 : 809,576 = 809,576 : x - Step 2: Convert to fraction form
382,024/809,576 = 809,576/x - Step 3: Cross multiply
382,024x = 809,576 × 809,576 - Step 4: Simplify right side
382,024x = 655,413,299,776 - Step 5: Solve for x
x = 655,413,299,776/382,024 - Step 6: Final answer
x = 1,715,633.83
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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.