Finding the Third Proportional to 523 and 610
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Solution
The third proportional to 523 and 610 is: 711.47
Step by Step Solution
- Step 1: Write the proportion equation
523 : 610 = 610 : x - Step 2: Convert to fraction form
523/610 = 610/x - Step 3: Cross multiply
523x = 610 × 610 - Step 4: Simplify right side
523x = 372,100 - Step 5: Solve for x
x = 372,100/523 - Step 6: Final answer
x = 711.47
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.