Finding the Third Proportional to 565 and 629
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Solution
The third proportional to 565 and 629 is: 700.25
Step by Step Solution
- Step 1: Write the proportion equation
565 : 629 = 629 : x - Step 2: Convert to fraction form
565/629 = 629/x - Step 3: Cross multiply
565x = 629 × 629 - Step 4: Simplify right side
565x = 395,641 - Step 5: Solve for x
x = 395,641/565 - Step 6: Final answer
x = 700.25
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.