Finding the Third Proportional to 413,982 and 905,452
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Solution
The third proportional to 413,982 and 905,452 is: 1,980,383.99
Step by Step Solution
- Step 1: Write the proportion equation
413,982 : 905,452 = 905,452 : x - Step 2: Convert to fraction form
413,982/905,452 = 905,452/x - Step 3: Cross multiply
413,982x = 905,452 × 905,452 - Step 4: Simplify right side
413,982x = 819,843,324,304 - Step 5: Solve for x
x = 819,843,324,304/413,982 - Step 6: Final answer
x = 1,980,383.99
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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.