Finding the Third Proportional to 243,192 and 498,408
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Solution
The third proportional to 243,192 and 498,408 is: 1,021,458.50
Step by Step Solution
- Step 1: Write the proportion equation
243,192 : 498,408 = 498,408 : x - Step 2: Convert to fraction form
243,192/498,408 = 498,408/x - Step 3: Cross multiply
243,192x = 498,408 × 498,408 - Step 4: Simplify right side
243,192x = 248,410,534,464 - Step 5: Solve for x
x = 248,410,534,464/243,192 - Step 6: Final answer
x = 1,021,458.50
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.