Finding the Third Proportional to 301,029.75 and 412,791.75
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Solution
The third proportional to 301,029.75 and 412,791.75 is: 566,047.14
Step by Step Solution
- Step 1: Write the proportion equation
301,029.75 : 412,791.75 = 412,791.75 : x - Step 2: Convert to fraction form
301,029.75/412,791.75 = 412,791.75/x - Step 3: Cross multiply
301,029.75x = 412,791.75 × 412,791.75 - Step 4: Simplify right side
301,029.75x = 170,397,028,868.06 - Step 5: Solve for x
x = 170,397,028,868.06/301,029.75 - Step 6: Final answer
x = 566,047.14
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.