Finding the Third Proportional to 413 and 767
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Solution
The third proportional to 413 and 767 is: 1,424.43
Step by Step Solution
- Step 1: Write the proportion equation
413 : 767 = 767 : x - Step 2: Convert to fraction form
413/767 = 767/x - Step 3: Cross multiply
413x = 767 × 767 - Step 4: Simplify right side
413x = 588,289 - Step 5: Solve for x
x = 588,289/413 - Step 6: Final answer
x = 1,424.43
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Why These Related Problems?
These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.