Finding the Third Proportional to 432 and 1,167
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Solution
The third proportional to 432 and 1,167 is: 3,152.52
Step by Step Solution
- Step 1: Write the proportion equation
432 : 1,167 = 1,167 : x - Step 2: Convert to fraction form
432/1,167 = 1,167/x - Step 3: Cross multiply
432x = 1,167 × 1,167 - Step 4: Simplify right side
432x = 1,361,889 - Step 5: Solve for x
x = 1,361,889/432 - Step 6: Final answer
x = 3,152.52
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.