Finding the Third Proportional to 415,720 and 527,352
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Solution
The third proportional to 415,720 and 527,352 is: 668,960.19
Step by Step Solution
- Step 1: Write the proportion equation
415,720 : 527,352 = 527,352 : x - Step 2: Convert to fraction form
415,720/527,352 = 527,352/x - Step 3: Cross multiply
415,720x = 527,352 × 527,352 - Step 4: Simplify right side
415,720x = 278,100,131,904 - Step 5: Solve for x
x = 278,100,131,904/415,720 - Step 6: Final answer
x = 668,960.19
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.