Finding the Third Proportional to 284,776 and 415,918
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Solution
The third proportional to 284,776 and 415,918 is: 607,452.11
Step by Step Solution
- Step 1: Write the proportion equation
284,776 : 415,918 = 415,918 : x - Step 2: Convert to fraction form
284,776/415,918 = 415,918/x - Step 3: Cross multiply
284,776x = 415,918 × 415,918 - Step 4: Simplify right side
284,776x = 172,987,782,724 - Step 5: Solve for x
x = 172,987,782,724/284,776 - Step 6: Final answer
x = 607,452.11
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.