Finding the Third Proportional to 705.75 and 1,485
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Solution
The third proportional to 705.75 and 1,485 is: 3,124.65
Step by Step Solution
- Step 1: Write the proportion equation
705.75 : 1,485 = 1,485 : x - Step 2: Convert to fraction form
705.75/1,485 = 1,485/x - Step 3: Cross multiply
705.75x = 1,485 × 1,485 - Step 4: Simplify right side
705.75x = 2,205,225 - Step 5: Solve for x
x = 2,205,225/705.75 - Step 6: Final answer
x = 3,124.65
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.