Finding the Third Proportional to 522 and 774.56
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Solution
The third proportional to 522 and 774.56 is: 1,149.32
Step by Step Solution
- Step 1: Write the proportion equation
522 : 774.56 = 774.56 : x - Step 2: Convert to fraction form
522/774.56 = 774.56/x - Step 3: Cross multiply
522x = 774.56 × 774.56 - Step 4: Simplify right side
522x = 599,947.07 - Step 5: Solve for x
x = 599,947.07/522 - Step 6: Final answer
x = 1,149.32
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.