Finding the Third Proportional to 293,142 and 642,396
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Solution
The third proportional to 293,142 and 642,396 is: 1,407,756.72
Step by Step Solution
- Step 1: Write the proportion equation
293,142 : 642,396 = 642,396 : x - Step 2: Convert to fraction form
293,142/642,396 = 642,396/x - Step 3: Cross multiply
293,142x = 642,396 × 642,396 - Step 4: Simplify right side
293,142x = 412,672,620,816 - Step 5: Solve for x
x = 412,672,620,816/293,142 - Step 6: Final answer
x = 1,407,756.72
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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.