Finding the Third Proportional to 231,832 and 488,986
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Solution
The third proportional to 231,832 and 488,986 is: 1,031,381.81
Step by Step Solution
- Step 1: Write the proportion equation
231,832 : 488,986 = 488,986 : x - Step 2: Convert to fraction form
231,832/488,986 = 488,986/x - Step 3: Cross multiply
231,832x = 488,986 × 488,986 - Step 4: Simplify right side
231,832x = 239,107,308,196 - Step 5: Solve for x
x = 239,107,308,196/231,832 - Step 6: Final answer
x = 1,031,381.81
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.