Finding the Third Proportional to 405,744 and 593,592
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Solution
The third proportional to 405,744 and 593,592 is: 868,408.31
Step by Step Solution
- Step 1: Write the proportion equation
405,744 : 593,592 = 593,592 : x - Step 2: Convert to fraction form
405,744/593,592 = 593,592/x - Step 3: Cross multiply
405,744x = 593,592 × 593,592 - Step 4: Simplify right side
405,744x = 352,351,462,464 - Step 5: Solve for x
x = 352,351,462,464/405,744 - Step 6: Final answer
x = 868,408.31
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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.