Finding the Third Proportional to 281,646 and 424,864
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Solution
The third proportional to 281,646 and 424,864 is: 640,908.87
Step by Step Solution
- Step 1: Write the proportion equation
281,646 : 424,864 = 424,864 : x - Step 2: Convert to fraction form
281,646/424,864 = 424,864/x - Step 3: Cross multiply
281,646x = 424,864 × 424,864 - Step 4: Simplify right side
281,646x = 180,509,418,496 - Step 5: Solve for x
x = 180,509,418,496/281,646 - Step 6: Final answer
x = 640,908.87
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.