Finding the Third Proportional to 230,034 and 497,004
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Solution
The third proportional to 230,034 and 497,004 is: 1,073,810.72
Step by Step Solution
- Step 1: Write the proportion equation
230,034 : 497,004 = 497,004 : x - Step 2: Convert to fraction form
230,034/497,004 = 497,004/x - Step 3: Cross multiply
230,034x = 497,004 × 497,004 - Step 4: Simplify right side
230,034x = 247,012,976,016 - Step 5: Solve for x
x = 247,012,976,016/230,034 - Step 6: Final answer
x = 1,073,810.72
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.