Finding the Third Proportional to 306 and 472
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Solution
The third proportional to 306 and 472 is: 728.05
Step by Step Solution
- Step 1: Write the proportion equation
306 : 472 = 472 : x - Step 2: Convert to fraction form
306/472 = 472/x - Step 3: Cross multiply
306x = 472 × 472 - Step 4: Simplify right side
306x = 222,784 - Step 5: Solve for x
x = 222,784/306 - Step 6: Final answer
x = 728.05
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.