Finding the Third Proportional to 323,424 and 491,664
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Solution
The third proportional to 323,424 and 491,664 is: 747,419.76
Step by Step Solution
- Step 1: Write the proportion equation
323,424 : 491,664 = 491,664 : x - Step 2: Convert to fraction form
323,424/491,664 = 491,664/x - Step 3: Cross multiply
323,424x = 491,664 × 491,664 - Step 4: Simplify right side
323,424x = 241,733,488,896 - Step 5: Solve for x
x = 241,733,488,896/323,424 - Step 6: Final answer
x = 747,419.76
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.