Finding the Third Proportional to 419,762 and 665,747
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Solution
The third proportional to 419,762 and 665,747 is: 1,055,881.83
Step by Step Solution
- Step 1: Write the proportion equation
419,762 : 665,747 = 665,747 : x - Step 2: Convert to fraction form
419,762/665,747 = 665,747/x - Step 3: Cross multiply
419,762x = 665,747 × 665,747 - Step 4: Simplify right side
419,762x = 443,219,068,009 - Step 5: Solve for x
x = 443,219,068,009/419,762 - Step 6: Final answer
x = 1,055,881.83
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.