Finding the Third Proportional to 294,044 and 414,087
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Solution
The third proportional to 294,044 and 414,087 is: 583,137.37
Step by Step Solution
- Step 1: Write the proportion equation
294,044 : 414,087 = 414,087 : x - Step 2: Convert to fraction form
294,044/414,087 = 414,087/x - Step 3: Cross multiply
294,044x = 414,087 × 414,087 - Step 4: Simplify right side
294,044x = 171,468,043,569 - Step 5: Solve for x
x = 171,468,043,569/294,044 - Step 6: Final answer
x = 583,137.37
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.