Finding the Third Proportional to 565 and 617
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Solution
The third proportional to 565 and 617 is: 673.79
Step by Step Solution
- Step 1: Write the proportion equation
565 : 617 = 617 : x - Step 2: Convert to fraction form
565/617 = 617/x - Step 3: Cross multiply
565x = 617 × 617 - Step 4: Simplify right side
565x = 380,689 - Step 5: Solve for x
x = 380,689/565 - Step 6: Final answer
x = 673.79
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.