Finding the Third Proportional to 413,746 and 632,652
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Solution
The third proportional to 413,746 and 632,652 is: 967,377.46
Step by Step Solution
- Step 1: Write the proportion equation
413,746 : 632,652 = 632,652 : x - Step 2: Convert to fraction form
413,746/632,652 = 632,652/x - Step 3: Cross multiply
413,746x = 632,652 × 632,652 - Step 4: Simplify right side
413,746x = 400,248,553,104 - Step 5: Solve for x
x = 400,248,553,104/413,746 - Step 6: Final answer
x = 967,377.46
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.