Finding the Third Proportional to 490,107 and 749,578
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Solution
The third proportional to 490,107 and 749,578 is: 1,146,417.37
Step by Step Solution
- Step 1: Write the proportion equation
490,107 : 749,578 = 749,578 : x - Step 2: Convert to fraction form
490,107/749,578 = 749,578/x - Step 3: Cross multiply
490,107x = 749,578 × 749,578 - Step 4: Simplify right side
490,107x = 561,867,178,084 - Step 5: Solve for x
x = 561,867,178,084/490,107 - Step 6: Final answer
x = 1,146,417.37
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.