Finding the Third Proportional to 730 and 1,504
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Solution
The third proportional to 730 and 1,504 is: 3,098.65
Step by Step Solution
- Step 1: Write the proportion equation
730 : 1,504 = 1,504 : x - Step 2: Convert to fraction form
730/1,504 = 1,504/x - Step 3: Cross multiply
730x = 1,504 × 1,504 - Step 4: Simplify right side
730x = 2,262,016 - Step 5: Solve for x
x = 2,262,016/730 - Step 6: Final answer
x = 3,098.65
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.