Finding the Third Proportional to 562 and 1,222
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Solution
The third proportional to 562 and 1,222 is: 2,657.09
Step by Step Solution
- Step 1: Write the proportion equation
562 : 1,222 = 1,222 : x - Step 2: Convert to fraction form
562/1,222 = 1,222/x - Step 3: Cross multiply
562x = 1,222 × 1,222 - Step 4: Simplify right side
562x = 1,493,284 - Step 5: Solve for x
x = 1,493,284/562 - Step 6: Final answer
x = 2,657.09
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.