Finding the Third Proportional to 584 and 630
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Solution
The third proportional to 584 and 630 is: 679.62
Step by Step Solution
- Step 1: Write the proportion equation
584 : 630 = 630 : x - Step 2: Convert to fraction form
584/630 = 630/x - Step 3: Cross multiply
584x = 630 × 630 - Step 4: Simplify right side
584x = 396,900 - Step 5: Solve for x
x = 396,900/584 - Step 6: Final answer
x = 679.62
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.