Finding the Third Proportional to 461 and 809
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Solution
The third proportional to 461 and 809 is: 1,419.70
Step by Step Solution
- Step 1: Write the proportion equation
461 : 809 = 809 : x - Step 2: Convert to fraction form
461/809 = 809/x - Step 3: Cross multiply
461x = 809 × 809 - Step 4: Simplify right side
461x = 654,481 - Step 5: Solve for x
x = 654,481/461 - Step 6: Final answer
x = 1,419.70
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Why These Related Problems?
These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.