Finding the Third Proportional to 299,274.75 and 419,937.75
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Solution
The third proportional to 299,274.75 and 419,937.75 is: 589,250.23
Step by Step Solution
- Step 1: Write the proportion equation
299,274.75 : 419,937.75 = 419,937.75 : x - Step 2: Convert to fraction form
299,274.75/419,937.75 = 419,937.75/x - Step 3: Cross multiply
299,274.75x = 419,937.75 × 419,937.75 - Step 4: Simplify right side
299,274.75x = 176,347,713,875.06 - Step 5: Solve for x
x = 176,347,713,875.06/299,274.75 - Step 6: Final answer
x = 589,250.23
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.