Finding the Third Proportional to 229,016 and 491,944
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Solution
The third proportional to 229,016 and 491,944 is: 1,056,733.59
Step by Step Solution
- Step 1: Write the proportion equation
229,016 : 491,944 = 491,944 : x - Step 2: Convert to fraction form
229,016/491,944 = 491,944/x - Step 3: Cross multiply
229,016x = 491,944 × 491,944 - Step 4: Simplify right side
229,016x = 242,008,899,136 - Step 5: Solve for x
x = 242,008,899,136/229,016 - Step 6: Final answer
x = 1,056,733.59
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.