Finding the Third Proportional to 381,840 and 754,041
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Solution
The third proportional to 381,840 and 754,041 is: 1,489,047.32
Step by Step Solution
- Step 1: Write the proportion equation
381,840 : 754,041 = 754,041 : x - Step 2: Convert to fraction form
381,840/754,041 = 754,041/x - Step 3: Cross multiply
381,840x = 754,041 × 754,041 - Step 4: Simplify right side
381,840x = 568,577,829,681 - Step 5: Solve for x
x = 568,577,829,681/381,840 - Step 6: Final answer
x = 1,489,047.32
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.