Finding the Third Proportional to 234,686 and 498,460
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Solution
The third proportional to 234,686 and 498,460 is: 1,058,701.29
Step by Step Solution
- Step 1: Write the proportion equation
234,686 : 498,460 = 498,460 : x - Step 2: Convert to fraction form
234,686/498,460 = 498,460/x - Step 3: Cross multiply
234,686x = 498,460 × 498,460 - Step 4: Simplify right side
234,686x = 248,462,371,600 - Step 5: Solve for x
x = 248,462,371,600/234,686 - Step 6: Final answer
x = 1,058,701.29
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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.