Finding the Third Proportional to 698 and 976.50
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Solution
The third proportional to 698 and 976.50 is: 1,366.12
Step by Step Solution
- Step 1: Write the proportion equation
698 : 976.50 = 976.50 : x - Step 2: Convert to fraction form
698/976.50 = 976.50/x - Step 3: Cross multiply
698x = 976.50 × 976.50 - Step 4: Simplify right side
698x = 953,552.25 - Step 5: Solve for x
x = 953,552.25/698 - Step 6: Final answer
x = 1,366.12
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.