Finding the Third Proportional to 264,096 and 514,962
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Solution
The third proportional to 264,096 and 514,962 is: 1,004,126.76
Step by Step Solution
- Step 1: Write the proportion equation
264,096 : 514,962 = 514,962 : x - Step 2: Convert to fraction form
264,096/514,962 = 514,962/x - Step 3: Cross multiply
264,096x = 514,962 × 514,962 - Step 4: Simplify right side
264,096x = 265,185,861,444 - Step 5: Solve for x
x = 265,185,861,444/264,096 - Step 6: Final answer
x = 1,004,126.76
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.