Finding the Third Proportional to 465 and 895.50
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Solution
The third proportional to 465 and 895.50 is: 1,724.56
Step by Step Solution
- Step 1: Write the proportion equation
465 : 895.50 = 895.50 : x - Step 2: Convert to fraction form
465/895.50 = 895.50/x - Step 3: Cross multiply
465x = 895.50 × 895.50 - Step 4: Simplify right side
465x = 801,920.25 - Step 5: Solve for x
x = 801,920.25/465 - Step 6: Final answer
x = 1,724.56
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.