Finding the Third Proportional to 414,895.50 and 905,190
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Solution
The third proportional to 414,895.50 and 905,190 is: 1,974,880.27
Step by Step Solution
- Step 1: Write the proportion equation
414,895.50 : 905,190 = 905,190 : x - Step 2: Convert to fraction form
414,895.50/905,190 = 905,190/x - Step 3: Cross multiply
414,895.50x = 905,190 × 905,190 - Step 4: Simplify right side
414,895.50x = 819,368,936,100 - Step 5: Solve for x
x = 819,368,936,100/414,895.50 - Step 6: Final answer
x = 1,974,880.27
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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.