Finding the Third Proportional to 262,453.50 and 541,470
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Solution
The third proportional to 262,453.50 and 541,470 is: 1,117,111.26
Step by Step Solution
- Step 1: Write the proportion equation
262,453.50 : 541,470 = 541,470 : x - Step 2: Convert to fraction form
262,453.50/541,470 = 541,470/x - Step 3: Cross multiply
262,453.50x = 541,470 × 541,470 - Step 4: Simplify right side
262,453.50x = 293,189,760,900 - Step 5: Solve for x
x = 293,189,760,900/262,453.50 - Step 6: Final answer
x = 1,117,111.26
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.