Finding the Third Proportional to 411,062 and 614,913
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Solution
The third proportional to 411,062 and 614,913 is: 919,856.37
Step by Step Solution
- Step 1: Write the proportion equation
411,062 : 614,913 = 614,913 : x - Step 2: Convert to fraction form
411,062/614,913 = 614,913/x - Step 3: Cross multiply
411,062x = 614,913 × 614,913 - Step 4: Simplify right side
411,062x = 378,117,997,569 - Step 5: Solve for x
x = 378,117,997,569/411,062 - Step 6: Final answer
x = 919,856.37
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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.