Finding the Third Proportional to 233,874 and 513,778
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Solution
The third proportional to 233,874 and 513,778 is: 1,128,675.41
Step by Step Solution
- Step 1: Write the proportion equation
233,874 : 513,778 = 513,778 : x - Step 2: Convert to fraction form
233,874/513,778 = 513,778/x - Step 3: Cross multiply
233,874x = 513,778 × 513,778 - Step 4: Simplify right side
233,874x = 263,967,833,284 - Step 5: Solve for x
x = 263,967,833,284/233,874 - Step 6: Final answer
x = 1,128,675.41
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.