Finding the Third Proportional to 197,991 and 478,494
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Solution
The third proportional to 197,991 and 478,494 is: 1,156,398.56
Step by Step Solution
- Step 1: Write the proportion equation
197,991 : 478,494 = 478,494 : x - Step 2: Convert to fraction form
197,991/478,494 = 478,494/x - Step 3: Cross multiply
197,991x = 478,494 × 478,494 - Step 4: Simplify right side
197,991x = 228,956,508,036 - Step 5: Solve for x
x = 228,956,508,036/197,991 - Step 6: Final answer
x = 1,156,398.56
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.