Finding the Third Proportional to 558 and 828
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Solution
The third proportional to 558 and 828 is: 1,228.65
Step by Step Solution
- Step 1: Write the proportion equation
558 : 828 = 828 : x - Step 2: Convert to fraction form
558/828 = 828/x - Step 3: Cross multiply
558x = 828 × 828 - Step 4: Simplify right side
558x = 685,584 - Step 5: Solve for x
x = 685,584/558 - Step 6: Final answer
x = 1,228.65
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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.