Finding the Third Proportional to 312,448 and 681,408
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Solution
The third proportional to 312,448 and 681,408 is: 1,486,061.24
Step by Step Solution
- Step 1: Write the proportion equation
312,448 : 681,408 = 681,408 : x - Step 2: Convert to fraction form
312,448/681,408 = 681,408/x - Step 3: Cross multiply
312,448x = 681,408 × 681,408 - Step 4: Simplify right side
312,448x = 464,316,862,464 - Step 5: Solve for x
x = 464,316,862,464/312,448 - Step 6: Final answer
x = 1,486,061.24
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.