Finding the Third Proportional to 271,578 and 596,646
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Solution
The third proportional to 271,578 and 596,646 is: 1,310,807.39
Step by Step Solution
- Step 1: Write the proportion equation
271,578 : 596,646 = 596,646 : x - Step 2: Convert to fraction form
271,578/596,646 = 596,646/x - Step 3: Cross multiply
271,578x = 596,646 × 596,646 - Step 4: Simplify right side
271,578x = 355,986,449,316 - Step 5: Solve for x
x = 355,986,449,316/271,578 - Step 6: Final answer
x = 1,310,807.39
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.