Finding the Third Proportional to 536 and 623
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Solution
The third proportional to 536 and 623 is: 724.12
Step by Step Solution
- Step 1: Write the proportion equation
536 : 623 = 623 : x - Step 2: Convert to fraction form
536/623 = 623/x - Step 3: Cross multiply
536x = 623 × 623 - Step 4: Simplify right side
536x = 388,129 - Step 5: Solve for x
x = 388,129/536 - Step 6: Final answer
x = 724.12
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.