Finding the Third Proportional to 400 and 463.50
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Solution
The third proportional to 400 and 463.50 is: 537.08
Step by Step Solution
- Step 1: Write the proportion equation
400 : 463.50 = 463.50 : x - Step 2: Convert to fraction form
400/463.50 = 463.50/x - Step 3: Cross multiply
400x = 463.50 × 463.50 - Step 4: Simplify right side
400x = 214,832.25 - Step 5: Solve for x
x = 214,832.25/400 - Step 6: Final answer
x = 537.08
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.