Finding the Third Proportional to 312,228 and 493,938
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Solution
The third proportional to 312,228 and 493,938 is: 781,399.32
Step by Step Solution
- Step 1: Write the proportion equation
312,228 : 493,938 = 493,938 : x - Step 2: Convert to fraction form
312,228/493,938 = 493,938/x - Step 3: Cross multiply
312,228x = 493,938 × 493,938 - Step 4: Simplify right side
312,228x = 243,974,747,844 - Step 5: Solve for x
x = 243,974,747,844/312,228 - Step 6: Final answer
x = 781,399.32
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.