Finding the Third Proportional to 293,648 and 641,228
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Solution
The third proportional to 293,648 and 641,228 is: 1,400,225.26
Step by Step Solution
- Step 1: Write the proportion equation
293,648 : 641,228 = 641,228 : x - Step 2: Convert to fraction form
293,648/641,228 = 641,228/x - Step 3: Cross multiply
293,648x = 641,228 × 641,228 - Step 4: Simplify right side
293,648x = 411,173,347,984 - Step 5: Solve for x
x = 411,173,347,984/293,648 - Step 6: Final answer
x = 1,400,225.26
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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.