Finding the Third Proportional to 220,562 and 478,468
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Solution
The third proportional to 220,562 and 478,468 is: 1,037,946.82
Step by Step Solution
- Step 1: Write the proportion equation
220,562 : 478,468 = 478,468 : x - Step 2: Convert to fraction form
220,562/478,468 = 478,468/x - Step 3: Cross multiply
220,562x = 478,468 × 478,468 - Step 4: Simplify right side
220,562x = 228,931,627,024 - Step 5: Solve for x
x = 228,931,627,024/220,562 - Step 6: Final answer
x = 1,037,946.82
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.