Finding the Third Proportional to 230,796 and 520,855
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Solution
The third proportional to 230,796 and 520,855 is: 1,175,453.35
Step by Step Solution
- Step 1: Write the proportion equation
230,796 : 520,855 = 520,855 : x - Step 2: Convert to fraction form
230,796/520,855 = 520,855/x - Step 3: Cross multiply
230,796x = 520,855 × 520,855 - Step 4: Simplify right side
230,796x = 271,289,931,025 - Step 5: Solve for x
x = 271,289,931,025/230,796 - Step 6: Final answer
x = 1,175,453.35
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.