Finding the Third Proportional to 447,084 and 676,404
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Solution
The third proportional to 447,084 and 676,404 is: 1,023,347.67
Step by Step Solution
- Step 1: Write the proportion equation
447,084 : 676,404 = 676,404 : x - Step 2: Convert to fraction form
447,084/676,404 = 676,404/x - Step 3: Cross multiply
447,084x = 676,404 × 676,404 - Step 4: Simplify right side
447,084x = 457,522,371,216 - Step 5: Solve for x
x = 457,522,371,216/447,084 - Step 6: Final answer
x = 1,023,347.67
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.