Finding the Third Proportional to 281,730 and 422,514
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Solution
The third proportional to 281,730 and 422,514 is: 633,649.52
Step by Step Solution
- Step 1: Write the proportion equation
281,730 : 422,514 = 422,514 : x - Step 2: Convert to fraction form
281,730/422,514 = 422,514/x - Step 3: Cross multiply
281,730x = 422,514 × 422,514 - Step 4: Simplify right side
281,730x = 178,518,080,196 - Step 5: Solve for x
x = 178,518,080,196/281,730 - Step 6: Final answer
x = 633,649.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.