Finding the Third Proportional to 761.25 and 862.50
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Solution
The third proportional to 761.25 and 862.50 is: 977.22
Step by Step Solution
- Step 1: Write the proportion equation
761.25 : 862.50 = 862.50 : x - Step 2: Convert to fraction form
761.25/862.50 = 862.50/x - Step 3: Cross multiply
761.25x = 862.50 × 862.50 - Step 4: Simplify right side
761.25x = 743,906.25 - Step 5: Solve for x
x = 743,906.25/761.25 - Step 6: Final answer
x = 977.22
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.