Finding the Third Proportional to 576,472 and 821,196
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Solution
The third proportional to 576,472 and 821,196 is: 1,169,810.28
Step by Step Solution
- Step 1: Write the proportion equation
576,472 : 821,196 = 821,196 : x - Step 2: Convert to fraction form
576,472/821,196 = 821,196/x - Step 3: Cross multiply
576,472x = 821,196 × 821,196 - Step 4: Simplify right side
576,472x = 674,362,870,416 - Step 5: Solve for x
x = 674,362,870,416/576,472 - Step 6: Final answer
x = 1,169,810.28
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.