Finding the Third Proportional to 231,822 and 488,550
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Solution
The third proportional to 231,822 and 488,550 is: 1,029,587.80
Step by Step Solution
- Step 1: Write the proportion equation
231,822 : 488,550 = 488,550 : x - Step 2: Convert to fraction form
231,822/488,550 = 488,550/x - Step 3: Cross multiply
231,822x = 488,550 × 488,550 - Step 4: Simplify right side
231,822x = 238,681,102,500 - Step 5: Solve for x
x = 238,681,102,500/231,822 - Step 6: Final answer
x = 1,029,587.80
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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.