Finding the Third Proportional to 424,402 and 576,729
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Solution
The third proportional to 424,402 and 576,729 is: 783,729.43
Step by Step Solution
- Step 1: Write the proportion equation
424,402 : 576,729 = 576,729 : x - Step 2: Convert to fraction form
424,402/576,729 = 576,729/x - Step 3: Cross multiply
424,402x = 576,729 × 576,729 - Step 4: Simplify right side
424,402x = 332,616,339,441 - Step 5: Solve for x
x = 332,616,339,441/424,402 - Step 6: Final answer
x = 783,729.43
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.