Finding the Third Proportional to 284,616 and 446,460
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Solution
The third proportional to 284,616 and 446,460 is: 700,334.95
Step by Step Solution
- Step 1: Write the proportion equation
284,616 : 446,460 = 446,460 : x - Step 2: Convert to fraction form
284,616/446,460 = 446,460/x - Step 3: Cross multiply
284,616x = 446,460 × 446,460 - Step 4: Simplify right side
284,616x = 199,326,531,600 - Step 5: Solve for x
x = 199,326,531,600/284,616 - Step 6: Final answer
x = 700,334.95
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.