Finding the Third Proportional to 311,870 and 656,338
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Solution
The third proportional to 311,870 and 656,338 is: 1,381,279.28
Step by Step Solution
- Step 1: Write the proportion equation
311,870 : 656,338 = 656,338 : x - Step 2: Convert to fraction form
311,870/656,338 = 656,338/x - Step 3: Cross multiply
311,870x = 656,338 × 656,338 - Step 4: Simplify right side
311,870x = 430,779,570,244 - Step 5: Solve for x
x = 430,779,570,244/311,870 - Step 6: Final answer
x = 1,381,279.28
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.