Finding the Third Proportional to 417 and 499.50
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Solution
The third proportional to 417 and 499.50 is: 598.32
Step by Step Solution
- Step 1: Write the proportion equation
417 : 499.50 = 499.50 : x - Step 2: Convert to fraction form
417/499.50 = 499.50/x - Step 3: Cross multiply
417x = 499.50 × 499.50 - Step 4: Simplify right side
417x = 249,500.25 - Step 5: Solve for x
x = 249,500.25/417 - Step 6: Final answer
x = 598.32
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.