Finding the Third Proportional to 235,132 and 514,004
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Solution
The third proportional to 235,132 and 514,004 is: 1,123,624.65
Step by Step Solution
- Step 1: Write the proportion equation
235,132 : 514,004 = 514,004 : x - Step 2: Convert to fraction form
235,132/514,004 = 514,004/x - Step 3: Cross multiply
235,132x = 514,004 × 514,004 - Step 4: Simplify right side
235,132x = 264,200,112,016 - Step 5: Solve for x
x = 264,200,112,016/235,132 - Step 6: Final answer
x = 1,123,624.65
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.