Finding the Third Proportional to 566 and 588.75
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Solution
The third proportional to 566 and 588.75 is: 612.41
Step by Step Solution
- Step 1: Write the proportion equation
566 : 588.75 = 588.75 : x - Step 2: Convert to fraction form
566/588.75 = 588.75/x - Step 3: Cross multiply
566x = 588.75 × 588.75 - Step 4: Simplify right side
566x = 346,626.56 - Step 5: Solve for x
x = 346,626.56/566 - Step 6: Final answer
x = 612.41
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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.