Finding the Third Proportional to 282,474,402 and 598,550,601
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Solution
The third proportional to 282,474,402 and 598,550,601 is: 1,268,301,904.25
Step by Step Solution
- Step 1: Write the proportion equation
282,474,402 : 598,550,601 = 598,550,601 : x - Step 2: Convert to fraction form
282,474,402/598,550,601 = 598,550,601/x - Step 3: Cross multiply
282,474,402x = 598,550,601 × 598,550,601 - Step 4: Simplify right side
282,474,402x = 358,262,821,957,461,184 - Step 5: Solve for x
x = 358,262,821,957,461,184/282,474,402 - Step 6: Final answer
x = 1,268,301,904.25
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.