Finding the Third Proportional to 312 and 570
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Solution
The third proportional to 312 and 570 is: 1,041.35
Step by Step Solution
- Step 1: Write the proportion equation
312 : 570 = 570 : x - Step 2: Convert to fraction form
312/570 = 570/x - Step 3: Cross multiply
312x = 570 × 570 - Step 4: Simplify right side
312x = 324,900 - Step 5: Solve for x
x = 324,900/312 - Step 6: Final answer
x = 1,041.35
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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.