Finding the Third Proportional to 217,138 and 478,448
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Solution
The third proportional to 217,138 and 478,448 is: 1,054,225.83
Step by Step Solution
- Step 1: Write the proportion equation
217,138 : 478,448 = 478,448 : x - Step 2: Convert to fraction form
217,138/478,448 = 478,448/x - Step 3: Cross multiply
217,138x = 478,448 × 478,448 - Step 4: Simplify right side
217,138x = 228,912,488,704 - Step 5: Solve for x
x = 228,912,488,704/217,138 - Step 6: Final answer
x = 1,054,225.83
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.