Finding the Third Proportional to 433,714 and 676,802
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Solution
The third proportional to 433,714 and 676,802 is: 1,056,135.95
Step by Step Solution
- Step 1: Write the proportion equation
433,714 : 676,802 = 676,802 : x - Step 2: Convert to fraction form
433,714/676,802 = 676,802/x - Step 3: Cross multiply
433,714x = 676,802 × 676,802 - Step 4: Simplify right side
433,714x = 458,060,947,204 - Step 5: Solve for x
x = 458,060,947,204/433,714 - Step 6: Final answer
x = 1,056,135.95
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.