Finding the Third Proportional to 219,324 and 478,284
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Solution
The third proportional to 219,324 and 478,284 is: 1,043,002.98
Step by Step Solution
- Step 1: Write the proportion equation
219,324 : 478,284 = 478,284 : x - Step 2: Convert to fraction form
219,324/478,284 = 478,284/x - Step 3: Cross multiply
219,324x = 478,284 × 478,284 - Step 4: Simplify right side
219,324x = 228,755,584,656 - Step 5: Solve for x
x = 228,755,584,656/219,324 - Step 6: Final answer
x = 1,043,002.98
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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.