Finding the Third Proportional to 257,382 and 404,169
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Solution
The third proportional to 257,382 and 404,169 is: 634,669.79
Step by Step Solution
- Step 1: Write the proportion equation
257,382 : 404,169 = 404,169 : x - Step 2: Convert to fraction form
257,382/404,169 = 404,169/x - Step 3: Cross multiply
257,382x = 404,169 × 404,169 - Step 4: Simplify right side
257,382x = 163,352,580,561 - Step 5: Solve for x
x = 163,352,580,561/257,382 - Step 6: Final answer
x = 634,669.79
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.