Finding the Third Proportional to 307,994 and 460,733
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Solution
The third proportional to 307,994 and 460,733 is: 689,217.64
Step by Step Solution
- Step 1: Write the proportion equation
307,994 : 460,733 = 460,733 : x - Step 2: Convert to fraction form
307,994/460,733 = 460,733/x - Step 3: Cross multiply
307,994x = 460,733 × 460,733 - Step 4: Simplify right side
307,994x = 212,274,897,289 - Step 5: Solve for x
x = 212,274,897,289/307,994 - Step 6: Final answer
x = 689,217.64
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.