Finding the Third Proportional to 527 and 1,146
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Solution
The third proportional to 527 and 1,146 is: 2,492.06
Step by Step Solution
- Step 1: Write the proportion equation
527 : 1,146 = 1,146 : x - Step 2: Convert to fraction form
527/1,146 = 1,146/x - Step 3: Cross multiply
527x = 1,146 × 1,146 - Step 4: Simplify right side
527x = 1,313,316 - Step 5: Solve for x
x = 1,313,316/527 - Step 6: Final answer
x = 2,492.06
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.