Finding the Third Proportional to 524,642 and 786,970
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Solution
The third proportional to 524,642 and 786,970 is: 1,180,465.50
Step by Step Solution
- Step 1: Write the proportion equation
524,642 : 786,970 = 786,970 : x - Step 2: Convert to fraction form
524,642/786,970 = 786,970/x - Step 3: Cross multiply
524,642x = 786,970 × 786,970 - Step 4: Simplify right side
524,642x = 619,321,780,900 - Step 5: Solve for x
x = 619,321,780,900/524,642 - Step 6: Final answer
x = 1,180,465.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.