Finding the Third Proportional to 413,935.50 and 905,361
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Solution
The third proportional to 413,935.50 and 905,361 is: 1,980,208.37
Step by Step Solution
- Step 1: Write the proportion equation
413,935.50 : 905,361 = 905,361 : x - Step 2: Convert to fraction form
413,935.50/905,361 = 905,361/x - Step 3: Cross multiply
413,935.50x = 905,361 × 905,361 - Step 4: Simplify right side
413,935.50x = 819,678,540,321 - Step 5: Solve for x
x = 819,678,540,321/413,935.50 - Step 6: Final answer
x = 1,980,208.37
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.