Finding the Third Proportional to 470 and 504
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Solution
The third proportional to 470 and 504 is: 540.46
Step by Step Solution
- Step 1: Write the proportion equation
470 : 504 = 504 : x - Step 2: Convert to fraction form
470/504 = 504/x - Step 3: Cross multiply
470x = 504 × 504 - Step 4: Simplify right side
470x = 254,016 - Step 5: Solve for x
x = 254,016/470 - Step 6: Final answer
x = 540.46
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.