Finding the Third Proportional to 278,176 and 417,074
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Solution
The third proportional to 278,176 and 417,074 is: 625,326.13
Step by Step Solution
- Step 1: Write the proportion equation
278,176 : 417,074 = 417,074 : x - Step 2: Convert to fraction form
278,176/417,074 = 417,074/x - Step 3: Cross multiply
278,176x = 417,074 × 417,074 - Step 4: Simplify right side
278,176x = 173,950,721,476 - Step 5: Solve for x
x = 173,950,721,476/278,176 - Step 6: Final answer
x = 625,326.13
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.