Finding the Third Proportional to 381,782.25 and 794,997
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Solution
The third proportional to 381,782.25 and 794,997 is: 1,655,446.87
Step by Step Solution
- Step 1: Write the proportion equation
381,782.25 : 794,997 = 794,997 : x - Step 2: Convert to fraction form
381,782.25/794,997 = 794,997/x - Step 3: Cross multiply
381,782.25x = 794,997 × 794,997 - Step 4: Simplify right side
381,782.25x = 632,020,230,009 - Step 5: Solve for x
x = 632,020,230,009/381,782.25 - Step 6: Final answer
x = 1,655,446.87
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.