Finding the Third Proportional to 230,590 and 496,756
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Solution
The third proportional to 230,590 and 496,756 is: 1,070,152.75
Step by Step Solution
- Step 1: Write the proportion equation
230,590 : 496,756 = 496,756 : x - Step 2: Convert to fraction form
230,590/496,756 = 496,756/x - Step 3: Cross multiply
230,590x = 496,756 × 496,756 - Step 4: Simplify right side
230,590x = 246,766,523,536 - Step 5: Solve for x
x = 246,766,523,536/230,590 - Step 6: Final answer
x = 1,070,152.75
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.