Finding the Third Proportional to 505 and 1,060
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Solution
The third proportional to 505 and 1,060 is: 2,224.95
Step by Step Solution
- Step 1: Write the proportion equation
505 : 1,060 = 1,060 : x - Step 2: Convert to fraction form
505/1,060 = 1,060/x - Step 3: Cross multiply
505x = 1,060 × 1,060 - Step 4: Simplify right side
505x = 1,123,600 - Step 5: Solve for x
x = 1,123,600/505 - Step 6: Final answer
x = 2,224.95
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.