Finding the Third Proportional to 231,832 and 507,996
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Solution
The third proportional to 231,832 and 507,996 is: 1,113,133.37
Step by Step Solution
- Step 1: Write the proportion equation
231,832 : 507,996 = 507,996 : x - Step 2: Convert to fraction form
231,832/507,996 = 507,996/x - Step 3: Cross multiply
231,832x = 507,996 × 507,996 - Step 4: Simplify right side
231,832x = 258,059,936,016 - Step 5: Solve for x
x = 258,059,936,016/231,832 - Step 6: Final answer
x = 1,113,133.37
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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.