Finding the Third Proportional to 276,330 and 422,514
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Solution
The third proportional to 276,330 and 422,514 is: 646,032.21
Step by Step Solution
- Step 1: Write the proportion equation
276,330 : 422,514 = 422,514 : x - Step 2: Convert to fraction form
276,330/422,514 = 422,514/x - Step 3: Cross multiply
276,330x = 422,514 × 422,514 - Step 4: Simplify right side
276,330x = 178,518,080,196 - Step 5: Solve for x
x = 178,518,080,196/276,330 - Step 6: Final answer
x = 646,032.21
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.