Finding the Third Proportional to 467,908 and 698,744
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Solution
The third proportional to 467,908 and 698,744 is: 1,043,459.78
Step by Step Solution
- Step 1: Write the proportion equation
467,908 : 698,744 = 698,744 : x - Step 2: Convert to fraction form
467,908/698,744 = 698,744/x - Step 3: Cross multiply
467,908x = 698,744 × 698,744 - Step 4: Simplify right side
467,908x = 488,243,177,536 - Step 5: Solve for x
x = 488,243,177,536/467,908 - Step 6: Final answer
x = 1,043,459.78
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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.