Finding the Third Proportional to 284,130 and 431,378
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Solution
The third proportional to 284,130 and 431,378 is: 654,936.05
Step by Step Solution
- Step 1: Write the proportion equation
284,130 : 431,378 = 431,378 : x - Step 2: Convert to fraction form
284,130/431,378 = 431,378/x - Step 3: Cross multiply
284,130x = 431,378 × 431,378 - Step 4: Simplify right side
284,130x = 186,086,978,884 - Step 5: Solve for x
x = 186,086,978,884/284,130 - Step 6: Final answer
x = 654,936.05
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.