Finding the Third Proportional to 477,576 and 745,416
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Solution
The third proportional to 477,576 and 745,416 is: 1,163,469.30
Step by Step Solution
- Step 1: Write the proportion equation
477,576 : 745,416 = 745,416 : x - Step 2: Convert to fraction form
477,576/745,416 = 745,416/x - Step 3: Cross multiply
477,576x = 745,416 × 745,416 - Step 4: Simplify right side
477,576x = 555,645,013,056 - Step 5: Solve for x
x = 555,645,013,056/477,576 - Step 6: Final answer
x = 1,163,469.30
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.