Finding the Third Proportional to 708.75 and 1,520
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Solution
The third proportional to 708.75 and 1,520 is: 3,259.82
Step by Step Solution
- Step 1: Write the proportion equation
708.75 : 1,520 = 1,520 : x - Step 2: Convert to fraction form
708.75/1,520 = 1,520/x - Step 3: Cross multiply
708.75x = 1,520 × 1,520 - Step 4: Simplify right side
708.75x = 2,310,400 - Step 5: Solve for x
x = 2,310,400/708.75 - Step 6: Final answer
x = 3,259.82
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.