Finding the Third Proportional to 377,312 and 822,016
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Solution
The third proportional to 377,312 and 822,016 is: 1,790,852.94
Step by Step Solution
- Step 1: Write the proportion equation
377,312 : 822,016 = 822,016 : x - Step 2: Convert to fraction form
377,312/822,016 = 822,016/x - Step 3: Cross multiply
377,312x = 822,016 × 822,016 - Step 4: Simplify right side
377,312x = 675,710,304,256 - Step 5: Solve for x
x = 675,710,304,256/377,312 - Step 6: Final answer
x = 1,790,852.94
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.