Finding the Third Proportional to 592 and 832.50
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Solution
The third proportional to 592 and 832.50 is: 1,170.70
Step by Step Solution
- Step 1: Write the proportion equation
592 : 832.50 = 832.50 : x - Step 2: Convert to fraction form
592/832.50 = 832.50/x - Step 3: Cross multiply
592x = 832.50 × 832.50 - Step 4: Simplify right side
592x = 693,056.25 - Step 5: Solve for x
x = 693,056.25/592 - Step 6: Final answer
x = 1,170.70
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.