Finding the Third Proportional to 419,782.50 and 905,904
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Solution
The third proportional to 419,782.50 and 905,904 is: 1,954,969.67
Step by Step Solution
- Step 1: Write the proportion equation
419,782.50 : 905,904 = 905,904 : x - Step 2: Convert to fraction form
419,782.50/905,904 = 905,904/x - Step 3: Cross multiply
419,782.50x = 905,904 × 905,904 - Step 4: Simplify right side
419,782.50x = 820,662,057,216 - Step 5: Solve for x
x = 820,662,057,216/419,782.50 - Step 6: Final answer
x = 1,954,969.67
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.