Finding the Third Proportional to 314,934 and 478,233
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Solution
The third proportional to 314,934 and 478,233 is: 726,205.50
Step by Step Solution
- Step 1: Write the proportion equation
314,934 : 478,233 = 478,233 : x - Step 2: Convert to fraction form
314,934/478,233 = 478,233/x - Step 3: Cross multiply
314,934x = 478,233 × 478,233 - Step 4: Simplify right side
314,934x = 228,706,802,289 - Step 5: Solve for x
x = 228,706,802,289/314,934 - Step 6: Final answer
x = 726,205.50
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.