Finding the Third Proportional to 326,832 and 772,763
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Solution
The third proportional to 326,832 and 772,763 is: 1,827,124.19
Step by Step Solution
- Step 1: Write the proportion equation
326,832 : 772,763 = 772,763 : x - Step 2: Convert to fraction form
326,832/772,763 = 772,763/x - Step 3: Cross multiply
326,832x = 772,763 × 772,763 - Step 4: Simplify right side
326,832x = 597,162,654,169 - Step 5: Solve for x
x = 597,162,654,169/326,832 - Step 6: Final answer
x = 1,827,124.19
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.