Finding the Third Proportional to 357,708 and 758,049
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Solution
The third proportional to 357,708 and 758,049 is: 1,606,445.16
Step by Step Solution
- Step 1: Write the proportion equation
357,708 : 758,049 = 758,049 : x - Step 2: Convert to fraction form
357,708/758,049 = 758,049/x - Step 3: Cross multiply
357,708x = 758,049 × 758,049 - Step 4: Simplify right side
357,708x = 574,638,286,401 - Step 5: Solve for x
x = 574,638,286,401/357,708 - Step 6: Final answer
x = 1,606,445.16
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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.