Finding the Third Proportional to 284,614 and 446,457
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Solution
The third proportional to 284,614 and 446,457 is: 700,330.46
Step by Step Solution
- Step 1: Write the proportion equation
284,614 : 446,457 = 446,457 : x - Step 2: Convert to fraction form
284,614/446,457 = 446,457/x - Step 3: Cross multiply
284,614x = 446,457 × 446,457 - Step 4: Simplify right side
284,614x = 199,323,852,849 - Step 5: Solve for x
x = 199,323,852,849/284,614 - Step 6: Final answer
x = 700,330.46
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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.