Finding the Third Proportional to 465,888 and 998,256
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Solution
The third proportional to 465,888 and 998,256 is: 2,138,958.38
Step by Step Solution
- Step 1: Write the proportion equation
465,888 : 998,256 = 998,256 : x - Step 2: Convert to fraction form
465,888/998,256 = 998,256/x - Step 3: Cross multiply
465,888x = 998,256 × 998,256 - Step 4: Simplify right side
465,888x = 996,515,041,536 - Step 5: Solve for x
x = 996,515,041,536/465,888 - Step 6: Final answer
x = 2,138,958.38
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.