Finding the Third Proportional to 504 and 1,217
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Solution
The third proportional to 504 and 1,217 is: 2,938.67
Step by Step Solution
- Step 1: Write the proportion equation
504 : 1,217 = 1,217 : x - Step 2: Convert to fraction form
504/1,217 = 1,217/x - Step 3: Cross multiply
504x = 1,217 × 1,217 - Step 4: Simplify right side
504x = 1,481,089 - Step 5: Solve for x
x = 1,481,089/504 - Step 6: Final answer
x = 2,938.67
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.