Finding the Third Proportional to 229,788 and 491,139
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Solution
The third proportional to 229,788 and 491,139 is: 1,049,739.40
Step by Step Solution
- Step 1: Write the proportion equation
229,788 : 491,139 = 491,139 : x - Step 2: Convert to fraction form
229,788/491,139 = 491,139/x - Step 3: Cross multiply
229,788x = 491,139 × 491,139 - Step 4: Simplify right side
229,788x = 241,217,517,321 - Step 5: Solve for x
x = 241,217,517,321/229,788 - Step 6: Final answer
x = 1,049,739.40
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.