Finding the Third Proportional to 257,676 and 578,688
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Solution
The third proportional to 257,676 and 578,688 is: 1,299,615.80
Step by Step Solution
- Step 1: Write the proportion equation
257,676 : 578,688 = 578,688 : x - Step 2: Convert to fraction form
257,676/578,688 = 578,688/x - Step 3: Cross multiply
257,676x = 578,688 × 578,688 - Step 4: Simplify right side
257,676x = 334,879,801,344 - Step 5: Solve for x
x = 334,879,801,344/257,676 - Step 6: Final answer
x = 1,299,615.80
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.