Finding the Third Proportional to 230,454 and 492,876
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Solution
The third proportional to 230,454 and 492,876 is: 1,054,122.52
Step by Step Solution
- Step 1: Write the proportion equation
230,454 : 492,876 = 492,876 : x - Step 2: Convert to fraction form
230,454/492,876 = 492,876/x - Step 3: Cross multiply
230,454x = 492,876 × 492,876 - Step 4: Simplify right side
230,454x = 242,926,751,376 - Step 5: Solve for x
x = 242,926,751,376/230,454 - Step 6: Final answer
x = 1,054,122.52
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.