Finding the Third Proportional to 216,890 and 469,984
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Solution
The third proportional to 216,890 and 469,984 is: 1,018,419.29
Step by Step Solution
- Step 1: Write the proportion equation
216,890 : 469,984 = 469,984 : x - Step 2: Convert to fraction form
216,890/469,984 = 469,984/x - Step 3: Cross multiply
216,890x = 469,984 × 469,984 - Step 4: Simplify right side
216,890x = 220,884,960,256 - Step 5: Solve for x
x = 220,884,960,256/216,890 - Step 6: Final answer
x = 1,018,419.29
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.