Finding the Third Proportional to 257,222 and 533,848
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Solution
The third proportional to 257,222 and 533,848 is: 1,107,967.78
Step by Step Solution
- Step 1: Write the proportion equation
257,222 : 533,848 = 533,848 : x - Step 2: Convert to fraction form
257,222/533,848 = 533,848/x - Step 3: Cross multiply
257,222x = 533,848 × 533,848 - Step 4: Simplify right side
257,222x = 284,993,687,104 - Step 5: Solve for x
x = 284,993,687,104/257,222 - Step 6: Final answer
x = 1,107,967.78
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.