Finding the Third Proportional to 296,314 and 638,960
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Solution
The third proportional to 296,314 and 638,960 is: 1,377,828.53
Step by Step Solution
- Step 1: Write the proportion equation
296,314 : 638,960 = 638,960 : x - Step 2: Convert to fraction form
296,314/638,960 = 638,960/x - Step 3: Cross multiply
296,314x = 638,960 × 638,960 - Step 4: Simplify right side
296,314x = 408,269,881,600 - Step 5: Solve for x
x = 408,269,881,600/296,314 - Step 6: Final answer
x = 1,377,828.53
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.