Finding the Third Proportional to 472 and 1,032
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Solution
The third proportional to 472 and 1,032 is: 2,256.41
Step by Step Solution
- Step 1: Write the proportion equation
472 : 1,032 = 1,032 : x - Step 2: Convert to fraction form
472/1,032 = 1,032/x - Step 3: Cross multiply
472x = 1,032 × 1,032 - Step 4: Simplify right side
472x = 1,065,024 - Step 5: Solve for x
x = 1,065,024/472 - Step 6: Final answer
x = 2,256.41
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.