Finding the Third Proportional to 467,906 and 698,741
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Solution
The third proportional to 467,906 and 698,741 is: 1,043,455.28
Step by Step Solution
- Step 1: Write the proportion equation
467,906 : 698,741 = 698,741 : x - Step 2: Convert to fraction form
467,906/698,741 = 698,741/x - Step 3: Cross multiply
467,906x = 698,741 × 698,741 - Step 4: Simplify right side
467,906x = 488,238,985,081 - Step 5: Solve for x
x = 488,238,985,081/467,906 - Step 6: Final answer
x = 1,043,455.28
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.