Finding the Third Proportional to 215,876 and 471,056
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Solution
The third proportional to 215,876 and 471,056 is: 1,027,875.98
Step by Step Solution
- Step 1: Write the proportion equation
215,876 : 471,056 = 471,056 : x - Step 2: Convert to fraction form
215,876/471,056 = 471,056/x - Step 3: Cross multiply
215,876x = 471,056 × 471,056 - Step 4: Simplify right side
215,876x = 221,893,755,136 - Step 5: Solve for x
x = 221,893,755,136/215,876 - Step 6: Final answer
x = 1,027,875.98
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.