Finding the Third Proportional to 311,412 and 443,784
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Solution
The third proportional to 311,412 and 443,784 is: 632,423.41
Step by Step Solution
- Step 1: Write the proportion equation
311,412 : 443,784 = 443,784 : x - Step 2: Convert to fraction form
311,412/443,784 = 443,784/x - Step 3: Cross multiply
311,412x = 443,784 × 443,784 - Step 4: Simplify right side
311,412x = 196,944,238,656 - Step 5: Solve for x
x = 196,944,238,656/311,412 - Step 6: Final answer
x = 632,423.41
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.