Finding the Third Proportional to 278,844 and 420,864
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Solution
The third proportional to 278,844 and 420,864 is: 635,217.21
Step by Step Solution
- Step 1: Write the proportion equation
278,844 : 420,864 = 420,864 : x - Step 2: Convert to fraction form
278,844/420,864 = 420,864/x - Step 3: Cross multiply
278,844x = 420,864 × 420,864 - Step 4: Simplify right side
278,844x = 177,126,506,496 - Step 5: Solve for x
x = 177,126,506,496/278,844 - Step 6: Final answer
x = 635,217.21
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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.