Finding the Third Proportional to 237,206 and 510,680
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Solution
The third proportional to 237,206 and 510,680 is: 1,099,441.26
Step by Step Solution
- Step 1: Write the proportion equation
237,206 : 510,680 = 510,680 : x - Step 2: Convert to fraction form
237,206/510,680 = 510,680/x - Step 3: Cross multiply
237,206x = 510,680 × 510,680 - Step 4: Simplify right side
237,206x = 260,794,062,400 - Step 5: Solve for x
x = 260,794,062,400/237,206 - Step 6: Final answer
x = 1,099,441.26
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.