Finding the Third Proportional to 219,318 and 478,299
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Solution
The third proportional to 219,318 and 478,299 is: 1,043,096.93
Step by Step Solution
- Step 1: Write the proportion equation
219,318 : 478,299 = 478,299 : x - Step 2: Convert to fraction form
219,318/478,299 = 478,299/x - Step 3: Cross multiply
219,318x = 478,299 × 478,299 - Step 4: Simplify right side
219,318x = 228,769,933,401 - Step 5: Solve for x
x = 228,769,933,401/219,318 - Step 6: Final answer
x = 1,043,096.93
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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.