Finding the Third Proportional to 296,727 and 642,696
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Solution
The third proportional to 296,727 and 642,696 is: 1,392,047.74
Step by Step Solution
- Step 1: Write the proportion equation
296,727 : 642,696 = 642,696 : x - Step 2: Convert to fraction form
296,727/642,696 = 642,696/x - Step 3: Cross multiply
296,727x = 642,696 × 642,696 - Step 4: Simplify right side
296,727x = 413,058,148,416 - Step 5: Solve for x
x = 413,058,148,416/296,727 - Step 6: Final answer
x = 1,392,047.74
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.