Finding the Third Proportional to 410,300 and 853,216
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Solution
The third proportional to 410,300 and 853,216 is: 1,774,256.75
Step by Step Solution
- Step 1: Write the proportion equation
410,300 : 853,216 = 853,216 : x - Step 2: Convert to fraction form
410,300/853,216 = 853,216/x - Step 3: Cross multiply
410,300x = 853,216 × 853,216 - Step 4: Simplify right side
410,300x = 727,977,542,656 - Step 5: Solve for x
x = 727,977,542,656/410,300 - Step 6: Final answer
x = 1,774,256.75
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.