Finding the Third Proportional to 461,540.25 and 698,460.75
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Solution
The third proportional to 461,540.25 and 698,460.75 is: 1,056,998.65
Step by Step Solution
- Step 1: Write the proportion equation
461,540.25 : 698,460.75 = 698,460.75 : x - Step 2: Convert to fraction form
461,540.25/698,460.75 = 698,460.75/x - Step 3: Cross multiply
461,540.25x = 698,460.75 × 698,460.75 - Step 4: Simplify right side
461,540.25x = 487,847,419,290.56 - Step 5: Solve for x
x = 487,847,419,290.56/461,540.25 - Step 6: Final answer
x = 1,056,998.65
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.