Finding the Third Proportional to 219,224 and 478,122
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Solution
The third proportional to 219,224 and 478,122 is: 1,042,771.99
Step by Step Solution
- Step 1: Write the proportion equation
219,224 : 478,122 = 478,122 : x - Step 2: Convert to fraction form
219,224/478,122 = 478,122/x - Step 3: Cross multiply
219,224x = 478,122 × 478,122 - Step 4: Simplify right side
219,224x = 228,600,646,884 - Step 5: Solve for x
x = 228,600,646,884/219,224 - Step 6: Final answer
x = 1,042,771.99
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.