Finding the Third Proportional to 219,314 and 478,844
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Solution
The third proportional to 219,314 and 478,844 is: 1,045,494.48
Step by Step Solution
- Step 1: Write the proportion equation
219,314 : 478,844 = 478,844 : x - Step 2: Convert to fraction form
219,314/478,844 = 478,844/x - Step 3: Cross multiply
219,314x = 478,844 × 478,844 - Step 4: Simplify right side
219,314x = 229,291,576,336 - Step 5: Solve for x
x = 229,291,576,336/219,314 - Step 6: Final answer
x = 1,045,494.48
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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.