Finding the Third Proportional to 588 and 1,560
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Solution
The third proportional to 588 and 1,560 is: 4,138.78
Step by Step Solution
- Step 1: Write the proportion equation
588 : 1,560 = 1,560 : x - Step 2: Convert to fraction form
588/1,560 = 1,560/x - Step 3: Cross multiply
588x = 1,560 × 1,560 - Step 4: Simplify right side
588x = 2,433,600 - Step 5: Solve for x
x = 2,433,600/588 - Step 6: Final answer
x = 4,138.78
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These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.