Finding the Third Proportional to 233,442 and 521,316
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Solution
The third proportional to 233,442 and 521,316 is: 1,164,187.99
Step by Step Solution
- Step 1: Write the proportion equation
233,442 : 521,316 = 521,316 : x - Step 2: Convert to fraction form
233,442/521,316 = 521,316/x - Step 3: Cross multiply
233,442x = 521,316 × 521,316 - Step 4: Simplify right side
233,442x = 271,770,371,856 - Step 5: Solve for x
x = 271,770,371,856/233,442 - Step 6: Final answer
x = 1,164,187.99
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.