Finding the Third Proportional to 247,104 and 538,416
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Solution
The third proportional to 247,104 and 538,416 is: 1,173,157.01
Step by Step Solution
- Step 1: Write the proportion equation
247,104 : 538,416 = 538,416 : x - Step 2: Convert to fraction form
247,104/538,416 = 538,416/x - Step 3: Cross multiply
247,104x = 538,416 × 538,416 - Step 4: Simplify right side
247,104x = 289,891,789,056 - Step 5: Solve for x
x = 289,891,789,056/247,104 - Step 6: Final answer
x = 1,173,157.01
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.