Finding the Third Proportional to 255,638 and 557,416
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Solution
The third proportional to 255,638 and 557,416 is: 1,215,439.79
Step by Step Solution
- Step 1: Write the proportion equation
255,638 : 557,416 = 557,416 : x - Step 2: Convert to fraction form
255,638/557,416 = 557,416/x - Step 3: Cross multiply
255,638x = 557,416 × 557,416 - Step 4: Simplify right side
255,638x = 310,712,597,056 - Step 5: Solve for x
x = 310,712,597,056/255,638 - Step 6: Final answer
x = 1,215,439.79
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.