Finding the Third Proportional to 219,312 and 469,760
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Solution
The third proportional to 219,312 and 469,760 is: 1,006,212.42
Step by Step Solution
- Step 1: Write the proportion equation
219,312 : 469,760 = 469,760 : x - Step 2: Convert to fraction form
219,312/469,760 = 469,760/x - Step 3: Cross multiply
219,312x = 469,760 × 469,760 - Step 4: Simplify right side
219,312x = 220,674,457,600 - Step 5: Solve for x
x = 220,674,457,600/219,312 - Step 6: Final answer
x = 1,006,212.42
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.