Finding the Third Proportional to 509 and 553
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Solution
The third proportional to 509 and 553 is: 600.80
Step by Step Solution
- Step 1: Write the proportion equation
509 : 553 = 553 : x - Step 2: Convert to fraction form
509/553 = 553/x - Step 3: Cross multiply
509x = 553 × 553 - Step 4: Simplify right side
509x = 305,809 - Step 5: Solve for x
x = 305,809/509 - Step 6: Final answer
x = 600.80
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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.