Finding the Third Proportional to 278,436 and 424,182
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Solution
The third proportional to 278,436 and 424,182 is: 646,218.05
Step by Step Solution
- Step 1: Write the proportion equation
278,436 : 424,182 = 424,182 : x - Step 2: Convert to fraction form
278,436/424,182 = 424,182/x - Step 3: Cross multiply
278,436x = 424,182 × 424,182 - Step 4: Simplify right side
278,436x = 179,930,369,124 - Step 5: Solve for x
x = 179,930,369,124/278,436 - Step 6: Final answer
x = 646,218.05
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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.