Finding the Third Proportional to 382,104.84 and 809,724.09
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Solution
The third proportional to 382,104.84 and 809,724.09 is: 1,715,898.45
Step by Step Solution
- Step 1: Write the proportion equation
382,104.84 : 809,724.09 = 809,724.09 : x - Step 2: Convert to fraction form
382,104.84/809,724.09 = 809,724.09/x - Step 3: Cross multiply
382,104.84x = 809,724.09 × 809,724.09 - Step 4: Simplify right side
382,104.84x = 655,653,107,999.26 - Step 5: Solve for x
x = 655,653,107,999.26/382,104.84 - Step 6: Final answer
x = 1,715,898.45
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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.