Finding the Third Proportional to 516,096 and 758,964
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Solution
The third proportional to 516,096 and 758,964 is: 1,116,122.49
Step by Step Solution
- Step 1: Write the proportion equation
516,096 : 758,964 = 758,964 : x - Step 2: Convert to fraction form
516,096/758,964 = 758,964/x - Step 3: Cross multiply
516,096x = 758,964 × 758,964 - Step 4: Simplify right side
516,096x = 576,026,353,296 - Step 5: Solve for x
x = 576,026,353,296/516,096 - Step 6: Final answer
x = 1,116,122.49
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.