Finding the Third Proportional to 293,840 and 465,912
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Solution
The third proportional to 293,840 and 465,912 is: 738,748.95
Step by Step Solution
- Step 1: Write the proportion equation
293,840 : 465,912 = 465,912 : x - Step 2: Convert to fraction form
293,840/465,912 = 465,912/x - Step 3: Cross multiply
293,840x = 465,912 × 465,912 - Step 4: Simplify right side
293,840x = 217,073,991,744 - Step 5: Solve for x
x = 217,073,991,744/293,840 - Step 6: Final answer
x = 738,748.95
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.