Finding the Third Proportional to 459 and 807
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Solution
The third proportional to 459 and 807 is: 1,418.84
Step by Step Solution
- Step 1: Write the proportion equation
459 : 807 = 807 : x - Step 2: Convert to fraction form
459/807 = 807/x - Step 3: Cross multiply
459x = 807 × 807 - Step 4: Simplify right side
459x = 651,249 - Step 5: Solve for x
x = 651,249/459 - Step 6: Final answer
x = 1,418.84
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.