Finding the Third Proportional to 299,086.25 and 459,717
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Solution
The third proportional to 299,086.25 and 459,717 is: 706,617.97
Step by Step Solution
- Step 1: Write the proportion equation
299,086.25 : 459,717 = 459,717 : x - Step 2: Convert to fraction form
299,086.25/459,717 = 459,717/x - Step 3: Cross multiply
299,086.25x = 459,717 × 459,717 - Step 4: Simplify right side
299,086.25x = 211,339,720,089 - Step 5: Solve for x
x = 211,339,720,089/299,086.25 - Step 6: Final answer
x = 706,617.97
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.