Finding the Third Proportional to 266,144,984 and 582,461,144
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Solution
The third proportional to 266,144,984 and 582,461,144 is: 1,274,722,443.27
Step by Step Solution
- Step 1: Write the proportion equation
266,144,984 : 582,461,144 = 582,461,144 : x - Step 2: Convert to fraction form
266,144,984/582,461,144 = 582,461,144/x - Step 3: Cross multiply
266,144,984x = 582,461,144 × 582,461,144 - Step 4: Simplify right side
266,144,984x = 339,260,984,269,788,736 - Step 5: Solve for x
x = 339,260,984,269,788,736/266,144,984 - Step 6: Final answer
x = 1,274,722,443.27
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.