Finding the Third Proportional to 256,595 and 562,762
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Solution
The third proportional to 256,595 and 562,762 is: 1,234,244.89
Step by Step Solution
- Step 1: Write the proportion equation
256,595 : 562,762 = 562,762 : x - Step 2: Convert to fraction form
256,595/562,762 = 562,762/x - Step 3: Cross multiply
256,595x = 562,762 × 562,762 - Step 4: Simplify right side
256,595x = 316,701,068,644 - Step 5: Solve for x
x = 316,701,068,644/256,595 - Step 6: Final answer
x = 1,234,244.89
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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.