Finding the Third Proportional to 490,923,972 and 762,253,053.75
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Solution
The third proportional to 490,923,972 and 762,253,053.75 is: 1,183,543,177.95
Step by Step Solution
- Step 1: Write the proportion equation
490,923,972 : 762,253,053.75 = 762,253,053.75 : x - Step 2: Convert to fraction form
490,923,972/762,253,053.75 = 762,253,053.75/x - Step 3: Cross multiply
490,923,972x = 762,253,053.75 × 762,253,053.75 - Step 4: Simplify right side
490,923,972x = 581,029,717,951,200,384 - Step 5: Solve for x
x = 581,029,717,951,200,384/490,923,972 - Step 6: Final answer
x = 1,183,543,177.95
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.