Finding the Third Proportional to 427,320 and 998,314
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Solution
The third proportional to 427,320 and 998,314 is: 2,332,282.23
Step by Step Solution
- Step 1: Write the proportion equation
427,320 : 998,314 = 998,314 : x - Step 2: Convert to fraction form
427,320/998,314 = 998,314/x - Step 3: Cross multiply
427,320x = 998,314 × 998,314 - Step 4: Simplify right side
427,320x = 996,630,842,596 - Step 5: Solve for x
x = 996,630,842,596/427,320 - Step 6: Final answer
x = 2,332,282.23
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.