Finding the Third Proportional to 217,834 and 469,044
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Solution
The third proportional to 217,834 and 469,044 is: 1,009,953.79
Step by Step Solution
- Step 1: Write the proportion equation
217,834 : 469,044 = 469,044 : x - Step 2: Convert to fraction form
217,834/469,044 = 469,044/x - Step 3: Cross multiply
217,834x = 469,044 × 469,044 - Step 4: Simplify right side
217,834x = 220,002,273,936 - Step 5: Solve for x
x = 220,002,273,936/217,834 - Step 6: Final answer
x = 1,009,953.79
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.