Finding the Third Proportional to 800.75 and 1,170
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Solution
The third proportional to 800.75 and 1,170 is: 1,709.52
Step by Step Solution
- Step 1: Write the proportion equation
800.75 : 1,170 = 1,170 : x - Step 2: Convert to fraction form
800.75/1,170 = 1,170/x - Step 3: Cross multiply
800.75x = 1,170 × 1,170 - Step 4: Simplify right side
800.75x = 1,368,900 - Step 5: Solve for x
x = 1,368,900/800.75 - Step 6: Final answer
x = 1,709.52
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.