Finding the Third Proportional to 512,390 and 770,235
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Solution
The third proportional to 512,390 and 770,235 is: 1,157,832.81
Step by Step Solution
- Step 1: Write the proportion equation
512,390 : 770,235 = 770,235 : x - Step 2: Convert to fraction form
512,390/770,235 = 770,235/x - Step 3: Cross multiply
512,390x = 770,235 × 770,235 - Step 4: Simplify right side
512,390x = 593,261,955,225 - Step 5: Solve for x
x = 593,261,955,225/512,390 - Step 6: Final answer
x = 1,157,832.81
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.