Finding the Third Proportional to 220,436 and 469,712
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Solution
The third proportional to 220,436 and 469,712 is: 1,000,877.18
Step by Step Solution
- Step 1: Write the proportion equation
220,436 : 469,712 = 469,712 : x - Step 2: Convert to fraction form
220,436/469,712 = 469,712/x - Step 3: Cross multiply
220,436x = 469,712 × 469,712 - Step 4: Simplify right side
220,436x = 220,629,362,944 - Step 5: Solve for x
x = 220,629,362,944/220,436 - Step 6: Final answer
x = 1,000,877.18
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.