Finding the Third Proportional to 205,896.94 and 481,026.09
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Solution
The third proportional to 205,896.94 and 481,026.09 is: 1,123,795.75
Step by Step Solution
- Step 1: Write the proportion equation
205,896.94 : 481,026.09 = 481,026.09 : x - Step 2: Convert to fraction form
205,896.94/481,026.09 = 481,026.09/x - Step 3: Cross multiply
205,896.94x = 481,026.09 × 481,026.09 - Step 4: Simplify right side
205,896.94x = 231,386,102,868.38 - Step 5: Solve for x
x = 231,386,102,868.38/205,896.94 - Step 6: Final answer
x = 1,123,795.75
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.