Finding the Third Proportional to 415,768 and 669,588
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Solution
The third proportional to 415,768 and 669,588 is: 1,078,361.22
Step by Step Solution
- Step 1: Write the proportion equation
415,768 : 669,588 = 669,588 : x - Step 2: Convert to fraction form
415,768/669,588 = 669,588/x - Step 3: Cross multiply
415,768x = 669,588 × 669,588 - Step 4: Simplify right side
415,768x = 448,348,089,744 - Step 5: Solve for x
x = 448,348,089,744/415,768 - Step 6: Final answer
x = 1,078,361.22
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.