Finding the Third Proportional to 284,024.25 and 612,333
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Solution
The third proportional to 284,024.25 and 612,333 is: 1,320,139.75
Step by Step Solution
- Step 1: Write the proportion equation
284,024.25 : 612,333 = 612,333 : x - Step 2: Convert to fraction form
284,024.25/612,333 = 612,333/x - Step 3: Cross multiply
284,024.25x = 612,333 × 612,333 - Step 4: Simplify right side
284,024.25x = 374,951,702,889 - Step 5: Solve for x
x = 374,951,702,889/284,024.25 - Step 6: Final answer
x = 1,320,139.75
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.