Finding the Third Proportional to 235,926 and 513,322
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Solution
The third proportional to 235,926 and 513,322 is: 1,116,873.41
Step by Step Solution
- Step 1: Write the proportion equation
235,926 : 513,322 = 513,322 : x - Step 2: Convert to fraction form
235,926/513,322 = 513,322/x - Step 3: Cross multiply
235,926x = 513,322 × 513,322 - Step 4: Simplify right side
235,926x = 263,499,475,684 - Step 5: Solve for x
x = 263,499,475,684/235,926 - Step 6: Final answer
x = 1,116,873.41
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.