Finding the Third Proportional to 216,384 and 467,328
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Solution
The third proportional to 216,384 and 467,328 is: 1,009,295.79
Step by Step Solution
- Step 1: Write the proportion equation
216,384 : 467,328 = 467,328 : x - Step 2: Convert to fraction form
216,384/467,328 = 467,328/x - Step 3: Cross multiply
216,384x = 467,328 × 467,328 - Step 4: Simplify right side
216,384x = 218,395,459,584 - Step 5: Solve for x
x = 218,395,459,584/216,384 - Step 6: Final answer
x = 1,009,295.79
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.