Finding the Third Proportional to 288 and 472
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Solution
The third proportional to 288 and 472 is: 773.56
Step by Step Solution
- Step 1: Write the proportion equation
288 : 472 = 472 : x - Step 2: Convert to fraction form
288/472 = 472/x - Step 3: Cross multiply
288x = 472 × 472 - Step 4: Simplify right side
288x = 222,784 - Step 5: Solve for x
x = 222,784/288 - Step 6: Final answer
x = 773.56
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.