Finding the Third Proportional to 284,814 and 442,773
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Solution
The third proportional to 284,814 and 442,773 is: 688,336.70
Step by Step Solution
- Step 1: Write the proportion equation
284,814 : 442,773 = 442,773 : x - Step 2: Convert to fraction form
284,814/442,773 = 442,773/x - Step 3: Cross multiply
284,814x = 442,773 × 442,773 - Step 4: Simplify right side
284,814x = 196,047,929,529 - Step 5: Solve for x
x = 196,047,929,529/284,814 - Step 6: Final answer
x = 688,336.70
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.