Finding the Third Proportional to 569,144 and 824,336
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Solution
The third proportional to 569,144 and 824,336 is: 1,193,950.64
Step by Step Solution
- Step 1: Write the proportion equation
569,144 : 824,336 = 824,336 : x - Step 2: Convert to fraction form
569,144/824,336 = 824,336/x - Step 3: Cross multiply
569,144x = 824,336 × 824,336 - Step 4: Simplify right side
569,144x = 679,529,840,896 - Step 5: Solve for x
x = 679,529,840,896/569,144 - Step 6: Final answer
x = 1,193,950.64
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.