Finding the Third Proportional to 305,752.50 and 463,245.75
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Solution
The third proportional to 305,752.50 and 463,245.75 is: 701,863.84
Step by Step Solution
- Step 1: Write the proportion equation
305,752.50 : 463,245.75 = 463,245.75 : x - Step 2: Convert to fraction form
305,752.50/463,245.75 = 463,245.75/x - Step 3: Cross multiply
305,752.50x = 463,245.75 × 463,245.75 - Step 4: Simplify right side
305,752.50x = 214,596,624,893.06 - Step 5: Solve for x
x = 214,596,624,893.06/305,752.50 - Step 6: Final answer
x = 701,863.84
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.