Finding the Third Proportional to 280,719 and 420,714
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Solution
The third proportional to 280,719 and 420,714 is: 630,524.72
Step by Step Solution
- Step 1: Write the proportion equation
280,719 : 420,714 = 420,714 : x - Step 2: Convert to fraction form
280,719/420,714 = 420,714/x - Step 3: Cross multiply
280,719x = 420,714 × 420,714 - Step 4: Simplify right side
280,719x = 177,000,269,796 - Step 5: Solve for x
x = 177,000,269,796/280,719 - Step 6: Final answer
x = 630,524.72
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.