Finding the Third Proportional to 311,134 and 643,004
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Solution
The third proportional to 311,134 and 643,004 is: 1,328,861.98
Step by Step Solution
- Step 1: Write the proportion equation
311,134 : 643,004 = 643,004 : x - Step 2: Convert to fraction form
311,134/643,004 = 643,004/x - Step 3: Cross multiply
311,134x = 643,004 × 643,004 - Step 4: Simplify right side
311,134x = 413,454,144,016 - Step 5: Solve for x
x = 413,454,144,016/311,134 - Step 6: Final answer
x = 1,328,861.98
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.