Finding the Third Proportional to 490,142 and 749,630
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Solution
The third proportional to 490,142 and 749,630 is: 1,146,494.56
Step by Step Solution
- Step 1: Write the proportion equation
490,142 : 749,630 = 749,630 : x - Step 2: Convert to fraction form
490,142/749,630 = 749,630/x - Step 3: Cross multiply
490,142x = 749,630 × 749,630 - Step 4: Simplify right side
490,142x = 561,945,136,900 - Step 5: Solve for x
x = 561,945,136,900/490,142 - Step 6: Final answer
x = 1,146,494.56
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.