Finding the Third Proportional to 284,159 and 473,531
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Solution
The third proportional to 284,159 and 473,531 is: 789,106.13
Step by Step Solution
- Step 1: Write the proportion equation
284,159 : 473,531 = 473,531 : x - Step 2: Convert to fraction form
284,159/473,531 = 473,531/x - Step 3: Cross multiply
284,159x = 473,531 × 473,531 - Step 4: Simplify right side
284,159x = 224,231,607,961 - Step 5: Solve for x
x = 224,231,607,961/284,159 - Step 6: Final answer
x = 789,106.13
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.