Finding the Third Proportional to 922.75 and 1,413
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Solution
The third proportional to 922.75 and 1,413 is: 2,163.72
Step by Step Solution
- Step 1: Write the proportion equation
922.75 : 1,413 = 1,413 : x - Step 2: Convert to fraction form
922.75/1,413 = 1,413/x - Step 3: Cross multiply
922.75x = 1,413 × 1,413 - Step 4: Simplify right side
922.75x = 1,996,569 - Step 5: Solve for x
x = 1,996,569/922.75 - Step 6: Final answer
x = 2,163.72
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.