Finding the Third Proportional to 284,996 and 602,176
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Solution
The third proportional to 284,996 and 602,176 is: 1,272,354.47
Step by Step Solution
- Step 1: Write the proportion equation
284,996 : 602,176 = 602,176 : x - Step 2: Convert to fraction form
284,996/602,176 = 602,176/x - Step 3: Cross multiply
284,996x = 602,176 × 602,176 - Step 4: Simplify right side
284,996x = 362,615,934,976 - Step 5: Solve for x
x = 362,615,934,976/284,996 - Step 6: Final answer
x = 1,272,354.47
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.