Finding the Third Proportional to 228,016 and 498,944
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Solution
The third proportional to 228,016 and 498,944 is: 1,091,787.92
Step by Step Solution
- Step 1: Write the proportion equation
228,016 : 498,944 = 498,944 : x - Step 2: Convert to fraction form
228,016/498,944 = 498,944/x - Step 3: Cross multiply
228,016x = 498,944 × 498,944 - Step 4: Simplify right side
228,016x = 248,945,115,136 - Step 5: Solve for x
x = 248,945,115,136/228,016 - Step 6: Final answer
x = 1,091,787.92
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.