Finding the Third Proportional to 588 and 1,272
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Solution
The third proportional to 588 and 1,272 is: 2,751.67
Step by Step Solution
- Step 1: Write the proportion equation
588 : 1,272 = 1,272 : x - Step 2: Convert to fraction form
588/1,272 = 1,272/x - Step 3: Cross multiply
588x = 1,272 × 1,272 - Step 4: Simplify right side
588x = 1,617,984 - Step 5: Solve for x
x = 1,617,984/588 - Step 6: Final answer
x = 2,751.67
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.