Finding the Third Proportional to 490,433 and 749,906
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Solution
The third proportional to 490,433 and 749,906 is: 1,146,658.18
Step by Step Solution
- Step 1: Write the proportion equation
490,433 : 749,906 = 749,906 : x - Step 2: Convert to fraction form
490,433/749,906 = 749,906/x - Step 3: Cross multiply
490,433x = 749,906 × 749,906 - Step 4: Simplify right side
490,433x = 562,359,008,836 - Step 5: Solve for x
x = 562,359,008,836/490,433 - Step 6: Final answer
x = 1,146,658.18
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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.