Finding the Third Proportional to 309,870 and 656,946
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Solution
The third proportional to 309,870 and 656,946 is: 1,392,771.31
Step by Step Solution
- Step 1: Write the proportion equation
309,870 : 656,946 = 656,946 : x - Step 2: Convert to fraction form
309,870/656,946 = 656,946/x - Step 3: Cross multiply
309,870x = 656,946 × 656,946 - Step 4: Simplify right side
309,870x = 431,578,046,916 - Step 5: Solve for x
x = 431,578,046,916/309,870 - Step 6: Final answer
x = 1,392,771.31
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.