Finding the Third Proportional to 457,876 and 700,422
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Solution
The third proportional to 457,876 and 700,422 is: 1,071,449.43
Step by Step Solution
- Step 1: Write the proportion equation
457,876 : 700,422 = 700,422 : x - Step 2: Convert to fraction form
457,876/700,422 = 700,422/x - Step 3: Cross multiply
457,876x = 700,422 × 700,422 - Step 4: Simplify right side
457,876x = 490,590,978,084 - Step 5: Solve for x
x = 490,590,978,084/457,876 - Step 6: Final answer
x = 1,071,449.43
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.