Finding the Third Proportional to 290,828 and 623,774
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Solution
The third proportional to 290,828 and 623,774 is: 1,337,883.57
Step by Step Solution
- Step 1: Write the proportion equation
290,828 : 623,774 = 623,774 : x - Step 2: Convert to fraction form
290,828/623,774 = 623,774/x - Step 3: Cross multiply
290,828x = 623,774 × 623,774 - Step 4: Simplify right side
290,828x = 389,094,003,076 - Step 5: Solve for x
x = 389,094,003,076/290,828 - Step 6: Final answer
x = 1,337,883.57
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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.