Finding the Third Proportional to 216,780 and 472,764
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Solution
The third proportional to 216,780 and 472,764 is: 1,031,025.92
Step by Step Solution
- Step 1: Write the proportion equation
216,780 : 472,764 = 472,764 : x - Step 2: Convert to fraction form
216,780/472,764 = 472,764/x - Step 3: Cross multiply
216,780x = 472,764 × 472,764 - Step 4: Simplify right side
216,780x = 223,505,799,696 - Step 5: Solve for x
x = 223,505,799,696/216,780 - Step 6: Final answer
x = 1,031,025.92
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.