Finding the Third Proportional to 584,012 and 645,452
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Solution
The third proportional to 584,012 and 645,452 is: 713,355.69
Step by Step Solution
- Step 1: Write the proportion equation
584,012 : 645,452 = 645,452 : x - Step 2: Convert to fraction form
584,012/645,452 = 645,452/x - Step 3: Cross multiply
584,012x = 645,452 × 645,452 - Step 4: Simplify right side
584,012x = 416,608,284,304 - Step 5: Solve for x
x = 416,608,284,304/584,012 - Step 6: Final answer
x = 713,355.69
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.