Finding the Third Proportional to 597 and 1,261.50
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Solution
The third proportional to 597 and 1,261.50 is: 2,665.63
Step by Step Solution
- Step 1: Write the proportion equation
597 : 1,261.50 = 1,261.50 : x - Step 2: Convert to fraction form
597/1,261.50 = 1,261.50/x - Step 3: Cross multiply
597x = 1,261.50 × 1,261.50 - Step 4: Simplify right side
597x = 1,591,382.25 - Step 5: Solve for x
x = 1,591,382.25/597 - Step 6: Final answer
x = 2,665.63
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.