Finding the Third Proportional to 223,494 and 488,460
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Solution
The third proportional to 223,494 and 488,460 is: 1,067,559.63
Step by Step Solution
- Step 1: Write the proportion equation
223,494 : 488,460 = 488,460 : x - Step 2: Convert to fraction form
223,494/488,460 = 488,460/x - Step 3: Cross multiply
223,494x = 488,460 × 488,460 - Step 4: Simplify right side
223,494x = 238,593,171,600 - Step 5: Solve for x
x = 238,593,171,600/223,494 - Step 6: Final answer
x = 1,067,559.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.