Finding the Third Proportional to 208,089 and 447,741
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Solution
The third proportional to 208,089 and 447,741 is: 963,395.49
Step by Step Solution
- Step 1: Write the proportion equation
208,089 : 447,741 = 447,741 : x - Step 2: Convert to fraction form
208,089/447,741 = 447,741/x - Step 3: Cross multiply
208,089x = 447,741 × 447,741 - Step 4: Simplify right side
208,089x = 200,472,003,081 - Step 5: Solve for x
x = 200,472,003,081/208,089 - Step 6: Final answer
x = 963,395.49
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.