Finding the Third Proportional to 584 and 912.50
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Solution
The third proportional to 584 and 912.50 is: 1,425.78
Step by Step Solution
- Step 1: Write the proportion equation
584 : 912.50 = 912.50 : x - Step 2: Convert to fraction form
584/912.50 = 912.50/x - Step 3: Cross multiply
584x = 912.50 × 912.50 - Step 4: Simplify right side
584x = 832,656.25 - Step 5: Solve for x
x = 832,656.25/584 - Step 6: Final answer
x = 1,425.78
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.