Finding the Third Proportional to 262,784 and 595,724
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Solution
The third proportional to 262,784 and 595,724 is: 1,350,489.70
Step by Step Solution
- Step 1: Write the proportion equation
262,784 : 595,724 = 595,724 : x - Step 2: Convert to fraction form
262,784/595,724 = 595,724/x - Step 3: Cross multiply
262,784x = 595,724 × 595,724 - Step 4: Simplify right side
262,784x = 354,887,084,176 - Step 5: Solve for x
x = 354,887,084,176/262,784 - Step 6: Final answer
x = 1,350,489.70
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.