Finding the Third Proportional to 231,852 and 488,610
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Solution
The third proportional to 231,852 and 488,610 is: 1,029,707.45
Step by Step Solution
- Step 1: Write the proportion equation
231,852 : 488,610 = 488,610 : x - Step 2: Convert to fraction form
231,852/488,610 = 488,610/x - Step 3: Cross multiply
231,852x = 488,610 × 488,610 - Step 4: Simplify right side
231,852x = 238,739,732,100 - Step 5: Solve for x
x = 238,739,732,100/231,852 - Step 6: Final answer
x = 1,029,707.45
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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.