Finding the Third Proportional to 284,559.75 and 428,716.13
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Solution
The third proportional to 284,559.75 and 428,716.13 is: 645,901.31
Step by Step Solution
- Step 1: Write the proportion equation
284,559.75 : 428,716.13 = 428,716.13 : x - Step 2: Convert to fraction form
284,559.75/428,716.13 = 428,716.13/x - Step 3: Cross multiply
284,559.75x = 428,716.13 × 428,716.13 - Step 4: Simplify right side
284,559.75x = 183,797,515,835.02 - Step 5: Solve for x
x = 183,797,515,835.02/284,559.75 - Step 6: Final answer
x = 645,901.31
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.