Finding the Third Proportional to 281,760.50 and 412,526
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Solution
The third proportional to 281,760.50 and 412,526 is: 603,979.98
Step by Step Solution
- Step 1: Write the proportion equation
281,760.50 : 412,526 = 412,526 : x - Step 2: Convert to fraction form
281,760.50/412,526 = 412,526/x - Step 3: Cross multiply
281,760.50x = 412,526 × 412,526 - Step 4: Simplify right side
281,760.50x = 170,177,700,676 - Step 5: Solve for x
x = 170,177,700,676/281,760.50 - Step 6: Final answer
x = 603,979.98
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.