Finding the Third Proportional to 288,956 and 383,414
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Solution
The third proportional to 288,956 and 383,414 is: 508,749.76
Step by Step Solution
- Step 1: Write the proportion equation
288,956 : 383,414 = 383,414 : x - Step 2: Convert to fraction form
288,956/383,414 = 383,414/x - Step 3: Cross multiply
288,956x = 383,414 × 383,414 - Step 4: Simplify right side
288,956x = 147,006,295,396 - Step 5: Solve for x
x = 147,006,295,396/288,956 - Step 6: Final answer
x = 508,749.76
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.