Finding the Third Proportional to 707.50 and 1,380
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Solution
The third proportional to 707.50 and 1,380 is: 2,691.73
Step by Step Solution
- Step 1: Write the proportion equation
707.50 : 1,380 = 1,380 : x - Step 2: Convert to fraction form
707.50/1,380 = 1,380/x - Step 3: Cross multiply
707.50x = 1,380 × 1,380 - Step 4: Simplify right side
707.50x = 1,904,400 - Step 5: Solve for x
x = 1,904,400/707.50 - Step 6: Final answer
x = 2,691.73
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.