Finding the Third Proportional to 522 and 575
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Solution
The third proportional to 522 and 575 is: 633.38
Step by Step Solution
- Step 1: Write the proportion equation
522 : 575 = 575 : x - Step 2: Convert to fraction form
522/575 = 575/x - Step 3: Cross multiply
522x = 575 × 575 - Step 4: Simplify right side
522x = 330,625 - Step 5: Solve for x
x = 330,625/522 - Step 6: Final answer
x = 633.38
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.