Finding the Third Proportional to 284,184 and 441,540
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Solution
The third proportional to 284,184 and 441,540 is: 686,025.86
Step by Step Solution
- Step 1: Write the proportion equation
284,184 : 441,540 = 441,540 : x - Step 2: Convert to fraction form
284,184/441,540 = 441,540/x - Step 3: Cross multiply
284,184x = 441,540 × 441,540 - Step 4: Simplify right side
284,184x = 194,957,571,600 - Step 5: Solve for x
x = 194,957,571,600/284,184 - Step 6: Final answer
x = 686,025.86
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.