Finding the Third Proportional to 459.75 and 1,000.50
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Solution
The third proportional to 459.75 and 1,000.50 is: 2,177.27
Step by Step Solution
- Step 1: Write the proportion equation
459.75 : 1,000.50 = 1,000.50 : x - Step 2: Convert to fraction form
459.75/1,000.50 = 1,000.50/x - Step 3: Cross multiply
459.75x = 1,000.50 × 1,000.50 - Step 4: Simplify right side
459.75x = 1,001,000.25 - Step 5: Solve for x
x = 1,001,000.25/459.75 - Step 6: Final answer
x = 2,177.27
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.